College Algebra & Trigonometry
College Algebra & Trigonometry
17th Edition
ISBN: 9780077538545
Author: Miller
Publisher: McGraw-Hill Education
bartleby

Videos

Question
Book Icon
Chapter 10.2, Problem 39PE

a.

To determine

The specific solutions corresponding to given value of z , when solution set to the system of dependent equations equation is

  {(2z+1,z4,z)|z is any real number}

b.

To determine

The specific solutions corresponding to given value of z , when solution set to the system of dependent equations equation is

  {(2z+1,z4,z)|z is any real number}

Blurred answer
Students have asked these similar questions
Determine whether the given ordered pair is a solution to the system of equations. 3x−y=4 x+5y=2​ Ordered pair:   (4,0)   So, I know this is not an ordered pair, but my question is a better explanation, then what I have, for why this not an ordered pair? Thanks so much!
From 5 methods of solving systems of linear equations that you have learnt, which methods will not give an exact solution? Why?
Draw a second line on the groph in order to demonstrate a system of equations with one solution . Record your equation .

Chapter 10 Solutions

College Algebra & Trigonometry

Ch. 10.1 - Prob. 7PECh. 10.1 - Explain the meaning of the notation 4R2+R3R3.Ch. 10.1 - Prob. 9PECh. 10.1 - Prob. 10PECh. 10.1 - For Exercises 9-14, write the augmented matrix for...Ch. 10.1 - Prob. 12PECh. 10.1 - Prob. 13PECh. 10.1 - Prob. 14PECh. 10.1 - Prob. 15PECh. 10.1 - Prob. 16PECh. 10.1 - For Exercises 15-20, write a system of linear...Ch. 10.1 - Prob. 18PECh. 10.1 - Prob. 19PECh. 10.1 - Prob. 20PECh. 10.1 - Prob. 21PECh. 10.1 - Prob. 22PECh. 10.1 - For Exercises 21-26, perform the elementary row...Ch. 10.1 - Prob. 24PECh. 10.1 - Prob. 25PECh. 10.1 - Prob. 26PECh. 10.1 - Prob. 27PECh. 10.1 - Prob. 28PECh. 10.1 - Prob. 29PECh. 10.1 - Prob. 30PECh. 10.1 - Prob. 31PECh. 10.1 - Prob. 32PECh. 10.1 - Prob. 33PECh. 10.1 - Prob. 34PECh. 10.1 - For Exercises 33-36, determine if the matrix is in...Ch. 10.1 - Prob. 36PECh. 10.1 - Prob. 37PECh. 10.1 - Prob. 38PECh. 10.1 - Prob. 39PECh. 10.1 - Prob. 40PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 42PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 44PECh. 10.1 - Prob. 45PECh. 10.1 - Prob. 46PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 48PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 50PECh. 10.1 - For Exercises 41-60, solve the system by using...Ch. 10.1 - Prob. 52PECh. 10.1 - Prob. 53PECh. 10.1 - Prob. 54PECh. 10.1 - Prob. 55PECh. 10.1 - Prob. 56PECh. 10.1 - Prob. 57PECh. 10.1 - Prob. 58PECh. 10.1 - Prob. 59PECh. 10.1 - Prob. 60PECh. 10.1 - Prob. 61PECh. 10.1 - Prob. 62PECh. 10.1 - For Exercises 61-64, set up a system of linear...Ch. 10.1 - Prob. 64PECh. 10.1 - Prob. 65PECh. 10.1 - Prob. 66PECh. 10.1 - Prob. 67PECh. 10.1 - Prob. 68PECh. 10.1 - Prob. 69PECh. 10.1 - Prob. 70PECh. 10.1 - Prob. 71PECh. 10.1 - Prob. 72PECh. 10.1 - Prob. 73PECh. 10.1 - Prob. 74PECh. 10.1 - Prob. 75PECh. 10.1 - Prob. 76PECh. 10.2 - Prob. R.1PECh. 10.2 - Prob. R.2PECh. 10.2 - Prob. R.3PECh. 10.2 - Prob. R.4PECh. 10.2 - Prob. 1PECh. 10.2 - Prob. 2PECh. 10.2 - Prob. 3PECh. 10.2 - Prob. 4PECh. 10.2 - Prob. 5PECh. 10.2 - Prob. 6PECh. 10.2 - Prob. 7PECh. 10.2 - Prob. 8PECh. 10.2 - Prob. 9PECh. 10.2 - Prob. 10PECh. 10.2 - Prob. 11PECh. 10.2 - Prob. 12PECh. 10.2 - Prob. 13PECh. 10.2 - Prob. 14PECh. 10.2 - Prob. 15PECh. 10.2 - Prob. 16PECh. 10.2 - Prob. 17PECh. 10.2 - Prob. 18PECh. 10.2 - Prob. 19PECh. 10.2 - Prob. 20PECh. 10.2 - Prob. 21PECh. 10.2 - Prob. 22PECh. 10.2 - Prob. 23PECh. 10.2 - Prob. 24PECh. 10.2 - For Exercises 19-38, solve the system by using...Ch. 10.2 - For Exercises 19-38, solve the system by using...Ch. 10.2 - Prob. 27PECh. 10.2 - Prob. 28PECh. 10.2 - Prob. 29PECh. 10.2 - Prob. 30PECh. 10.2 - For Exercises 19-38, solve the system by using...Ch. 10.2 - Prob. 32PECh. 10.2 - Prob. 33PECh. 10.2 - Prob. 34PECh. 10.2 - Prob. 35PECh. 10.2 - Prob. 36PECh. 10.2 - Prob. 37PECh. 10.2 - Prob. 38PECh. 10.2 - Prob. 39PECh. 10.2 - Prob. 40PECh. 10.2 - Prob. 41PECh. 10.2 - Prob. 42PECh. 10.2 - Prob. 43PECh. 10.2 - Prob. 44PECh. 10.2 - Prob. 45PECh. 10.2 - Prob. 46PECh. 10.2 - Prob. 47PECh. 10.2 - Prob. 48PECh. 10.2 - Prob. 49PECh. 10.2 - A concession stand at a city park sells...Ch. 10.2 - Prob. 51PECh. 10.2 - Prob. 52PECh. 10.2 - Prob. 53PECh. 10.2 - Prob. 54PECh. 10.2 - Prob. 55PECh. 10.2 - Prob. 56PECh. 10.2 - Prob. 57PECh. 10.2 - Prob. 58PECh. 10.2 - Prob. 59PECh. 10.2 - Prob. 60PECh. 10.2 - Prob. 61PECh. 10.2 - Prob. 62PECh. 10.2 - Prob. 63PECh. 10.2 - Prob. 64PECh. 10.2 - Prob. 65PECh. 10.2 - Prob. 66PECh. 10.3 - Identify the additive inverse of 9.Ch. 10.3 - Prob. R.2PECh. 10.3 - Prob. R.3PECh. 10.3 - Prob. 1PECh. 10.3 - A matrix with the same number of rows and columns...Ch. 10.3 - What are the requirements for two matrices to be...Ch. 10.3 - An mn matrix whose elements are all zero is called...Ch. 10.3 - Prob. 5PECh. 10.3 - Prob. 6PECh. 10.3 - True or false: Matrix multiplication is a...Ch. 10.3 - Prob. 8PECh. 10.3 - Prob. 9PECh. 10.3 - Prob. 10PECh. 10.3 - For Exercises 11-16, Give the order of the matrix....Ch. 10.3 - Prob. 12PECh. 10.3 - Prob. 13PECh. 10.3 - Prob. 14PECh. 10.3 - Prob. 15PECh. 10.3 - Prob. 16PECh. 10.3 - Prob. 17PECh. 10.3 - Prob. 18PECh. 10.3 - Prob. 19PECh. 10.3 - Prob. 20PECh. 10.3 - Prob. 21PECh. 10.3 - Prob. 22PECh. 10.3 - Given A=[2xz-5] and B=[y410-5], for what values of...Ch. 10.3 - Prob. 24PECh. 10.3 - Given B=[4693567], find the additive inverse of B.Ch. 10.3 - Prob. 26PECh. 10.3 - For Exercises 27-32, add or subtract the given...Ch. 10.3 - Prob. 28PECh. 10.3 - For Exercises 27-32, add or subtract the given...Ch. 10.3 - Prob. 30PECh. 10.3 - For Exercises 27-32, add or subtract the given...Ch. 10.3 - Prob. 32PECh. 10.3 - Prob. 33PECh. 10.3 - Prob. 34PECh. 10.3 - For Exercises 35-42, use A=[24-91312] and...Ch. 10.3 - Prob. 36PECh. 10.3 - For Exercises 35-42, use A=[24-91312] and...Ch. 10.3 - Prob. 38PECh. 10.3 - For Exercises 35-42, use A=[24-91312] and...Ch. 10.3 - Prob. 40PECh. 10.3 - Prob. 41PECh. 10.3 - Prob. 42PECh. 10.3 - Prob. 43PECh. 10.3 - Prob. 44PECh. 10.3 - Prob. 45PECh. 10.3 - Prob. 46PECh. 10.3 - Prob. 47PECh. 10.3 - Prob. 48PECh. 10.3 - Prob. 49PECh. 10.3 - Prob. 50PECh. 10.3 - Given that E is a 51 matrix arid F is a 15 matrix,...Ch. 10.3 - Prob. 52PECh. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - Prob. 54PECh. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - Prob. 56PECh. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - Prob. 58PECh. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - For Exercises 53-64, (See Examples 6-7) a. Find AB...Ch. 10.3 - Prob. 65PECh. 10.3 - Prob. 66PECh. 10.3 - Prob. 67PECh. 10.3 - Prob. 68PECh. 10.3 - Prob. 69PECh. 10.3 - In matrix C, a coffee shop records the cost to...Ch. 10.3 - A street vendor at a parade sells fresh lemonade,...Ch. 10.3 - Prob. 72PECh. 10.3 - Prob. 73PECh. 10.3 - Prob. 74PECh. 10.3 - The labor costs per hour for an electrician,...Ch. 10.3 - Prob. 76PECh. 10.3 - Prob. 77PECh. 10.3 - Prob. 78PECh. 10.3 - a. Write a matrix A that represents the...Ch. 10.3 - a. Write a matrix A that represents the...Ch. 10.3 - a. Write a matrix A that represents the...Ch. 10.3 - Prob. 82PECh. 10.3 - Prob. 83PECh. 10.3 - Prob. 84PECh. 10.3 - For Exercises 85-86, use the following gray scale....Ch. 10.3 - Prob. 86PECh. 10.3 - Prob. 87PECh. 10.3 - Prob. 88PECh. 10.3 - Prob. 89PECh. 10.3 - Prob. 90PECh. 10.3 - Prob. 91PECh. 10.3 - Prob. 92PECh. 10.3 - Prob. 93PECh. 10.3 - Prob. 94PECh. 10.3 - Prob. 95PECh. 10.3 - Prob. 96PECh. 10.3 - Prob. 97PECh. 10.3 - Prob. 98PECh. 10.3 - Prob. 99PECh. 10.3 - Prob. 100PECh. 10.3 - Prob. 101PECh. 10.3 - Prob. 102PECh. 10.3 - Prob. 103PECh. 10.3 - Prob. 104PECh. 10.4 - Prob. R.1PECh. 10.4 - Prob. R.2PECh. 10.4 - Prob. R.3PECh. 10.4 - Prob. R.4PECh. 10.4 - Prob. 1PECh. 10.4 - Prob. 2PECh. 10.4 - Prob. 3PECh. 10.4 - A matrix that does not have an inverse is called a...Ch. 10.4 - Prob. 5PECh. 10.4 - Prob. 6PECh. 10.4 - Prob. 7PECh. 10.4 - Prob. 8PECh. 10.4 - Prob. 9PECh. 10.4 - Prob. 10PECh. 10.4 - Prob. 11PECh. 10.4 - Prob. 12PECh. 10.4 - Prob. 13PECh. 10.4 - Prob. 14PECh. 10.4 - Prob. 15PECh. 10.4 - Prob. 16PECh. 10.4 - Prob. 17PECh. 10.4 - Prob. 18PECh. 10.4 - Prob. 19PECh. 10.4 - Prob. 20PECh. 10.4 - Prob. 21PECh. 10.4 - Prob. 22PECh. 10.4 - Prob. 23PECh. 10.4 - Prob. 24PECh. 10.4 - Prob. 25PECh. 10.4 - Prob. 26PECh. 10.4 - Prob. 27PECh. 10.4 - Prob. 28PECh. 10.4 - Prob. 29PECh. 10.4 - Prob. 30PECh. 10.4 - For Exercises 19-34, determine the inverse of the...Ch. 10.4 - Prob. 32PECh. 10.4 - Prob. 33PECh. 10.4 - Prob. 34PECh. 10.4 - Prob. 35PECh. 10.4 - Prob. 36PECh. 10.4 - Prob. 37PECh. 10.4 - Prob. 38PECh. 10.4 - Prob. 39PECh. 10.4 - Prob. 40PECh. 10.4 - Prob. 41PECh. 10.4 - Prob. 42PECh. 10.4 - Prob. 43PECh. 10.4 - Prob. 44PECh. 10.4 - Prob. 45PECh. 10.4 - Prob. 46PECh. 10.4 - Prob. 47PECh. 10.4 - Prob. 48PECh. 10.4 - For Exercises 39-50, solve the system by using the...Ch. 10.4 - For Exercises 39-50, solve the system by using the...Ch. 10.4 - Prob. 51PECh. 10.4 - Prob. 52PECh. 10.4 - Prob. 53PECh. 10.4 - Prob. 54PECh. 10.4 - Prob. 55PECh. 10.4 - Prob. 56PECh. 10.4 - Prob. 57PECh. 10.4 - Prob. 58PECh. 10.4 - Prob. 59PECh. 10.4 - Prob. 60PECh. 10.4 - Prob. 61PECh. 10.4 - Prob. 62PECh. 10.4 - Prob. 63PECh. 10.4 - Prob. 64PECh. 10.4 - Prob. 65PECh. 10.4 - Prob. 66PECh. 10.4 - Prob. 67PECh. 10.4 - Prob. 68PECh. 10.4 - Prob. 69PECh. 10.4 - Prob. 70PECh. 10.4 - Prob. 71PECh. 10.4 - For Exercises 72-73, use a graphing calculator and...Ch. 10.4 - Prob. 73PECh. 10.5 - For Exercises R1-R.2, simplify the exponential...Ch. 10.5 - Prob. R.2PECh. 10.5 - Prob. R.3PECh. 10.5 - Prob. 1PECh. 10.5 - Prob. 2PECh. 10.5 - Prob. 3PECh. 10.5 - Prob. 4PECh. 10.5 - Prob. 5PECh. 10.5 - Prob. 6PECh. 10.5 - For Exercises 7-16, evaluate the determinant of...Ch. 10.5 - Prob. 8PECh. 10.5 - Prob. 9PECh. 10.5 - Prob. 10PECh. 10.5 - For Exercises 7-16, evaluate the determinant of...Ch. 10.5 - Prob. 12PECh. 10.5 - Prob. 13PECh. 10.5 - Prob. 14PECh. 10.5 - Prob. 15PECh. 10.5 - Prob. 16PECh. 10.5 - Prob. 17PECh. 10.5 - Prob. 18PECh. 10.5 - Prob. 19PECh. 10.5 - Prob. 20PECh. 10.5 - Prob. 21PECh. 10.5 - Prob. 22PECh. 10.5 - Prob. 23PECh. 10.5 - Prob. 24PECh. 10.5 - Prob. 25PECh. 10.5 - Prob. 26PECh. 10.5 - Prob. 27PECh. 10.5 - Prob. 28PECh. 10.5 - Prob. 29PECh. 10.5 - Prob. 30PECh. 10.5 - Prob. 31PECh. 10.5 - Prob. 32PECh. 10.5 - For Exercises 33-48, solve the system if possible...Ch. 10.5 - Prob. 34PECh. 10.5 - For Exercises 33-48, solve the system if possible...Ch. 10.5 - Prob. 36PECh. 10.5 - Prob. 37PECh. 10.5 - Prob. 38PECh. 10.5 - For Exercises 33-48, solve the system if possible...Ch. 10.5 - Prob. 40PECh. 10.5 - Prob. 41PECh. 10.5 - Prob. 42PECh. 10.5 - Prob. 43PECh. 10.5 - Prob. 44PECh. 10.5 - Prob. 45PECh. 10.5 - Prob. 46PECh. 10.5 - Prob. 47PECh. 10.5 - Prob. 48PECh. 10.5 - Prob. 49PECh. 10.5 - Prob. 50PECh. 10.5 - Prob. 51PECh. 10.5 - Prob. 52PECh. 10.5 - Prob. 53PECh. 10.5 - Prob. 54PECh. 10.5 - Prob. 55PECh. 10.5 - Prob. 56PECh. 10.5 - Prob. 57PECh. 10.5 - Prob. 58PECh. 10.5 - Prob. 59PECh. 10.5 - Given a square matrix A, elementary row operations...Ch. 10.5 - Prob. 61PECh. 10.5 - Prob. 62PECh. 10.5 - Prob. 63PECh. 10.5 - Prob. 64PECh. 10.5 - Prob. 65PECh. 10.5 - Prob. 66PECh. 10.5 - Prob. 67PECh. 10.5 - Prob. 68PECh. 10.5 - Prob. 69PECh. 10.5 - Prob. 70PECh. 10.5 - Prob. 71PECh. 10.5 - Prob. 72PECh. 10.5 - Prob. 73PECh. 10.5 - Prob. 74PECh. 10.5 - Prob. 75PECh. 10.5 - Prob. 76PECh. 10.5 - Prob. 77PECh. 10.5 - Prob. 78PECh. 10.5 - Prob. 79PECh. 10.5 - Prob. 80PECh. 10.5 - Prob. 81PECh. 10.5 - Prob. 82PECh. 10 - For Exercises 1-4, solve the system of equations...Ch. 10 - For Exercises 1-4, solve the system of equations...Ch. 10 - For Exercises 1-4, solve the system of equations...Ch. 10 - Prob. 4PRECh. 10 - For Exercises 5-8, Evaluate the determinant of the...Ch. 10 - Prob. 6PRECh. 10 - For Exercises 5-8, Evaluate the determinant of the...Ch. 10 - For Exercises 5-8, Evaluate the determinant of the...Ch. 10 - Prob. 1RECh. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Prob. 6RECh. 10 - Prob. 7RECh. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Prob. 19RECh. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - Prob. 32RECh. 10 - Prob. 33RECh. 10 - Prob. 34RECh. 10 - Prob. 35RECh. 10 - Prob. 36RECh. 10 - Prob. 37RECh. 10 - Prob. 38RECh. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - Prob. 42RECh. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - Prob. 45RECh. 10 - Prob. 46RECh. 10 - Prob. 47RECh. 10 - Prob. 48RECh. 10 - Prob. 49RECh. 10 - Prob. 50RECh. 10 - Prob. 51RECh. 10 - Prob. 52RECh. 10 - Prob. 53RECh. 10 - Prob. 54RECh. 10 - Prob. 55RECh. 10 - Prob. 56RECh. 10 - Prob. 57RECh. 10 - Prob. 58RECh. 10 - Prob. 59RECh. 10 - Prob. 60RECh. 10 - Prob. 61RECh. 10 - Prob. 62RECh. 10 - Prob. 63RECh. 10 - Prob. 64RECh. 10 - Prob. 65RECh. 10 - Prob. 66RECh. 10 - Prob. 67RECh. 10 - Prob. 68RECh. 10 - Prob. 69RECh. 10 - Prob. 70RECh. 10 - Prob. 71RECh. 10 - Prob. 72RECh. 10 - Prob. 73RECh. 10 - Prob. 74RECh. 10 - Prob. 75RECh. 10 - Prob. 76RECh. 10 - Prob. 77RECh. 10 - Prob. 78RECh. 10 - Prob. 1TCh. 10 - Prob. 2TCh. 10 - Prob. 3TCh. 10 - Prob. 4TCh. 10 - Prob. 5TCh. 10 - Prob. 6TCh. 10 - Prob. 7TCh. 10 - Prob. 8TCh. 10 - Prob. 9TCh. 10 - Prob. 10TCh. 10 - Prob. 11TCh. 10 - Prob. 12TCh. 10 - For Exercises 13-16, solve the system by using...Ch. 10 - Prob. 14TCh. 10 - Prob. 15TCh. 10 - Prob. 16TCh. 10 - Prob. 17TCh. 10 - Prob. 18TCh. 10 - Prob. 19TCh. 10 - Prob. 20TCh. 10 - Prob. 21TCh. 10 - Prob. 22TCh. 10 - Prob. 23TCh. 10 - Prob. 24TCh. 10 - Prob. 25TCh. 10 - Prob. 26TCh. 10 - Prob. 27TCh. 10 - Prob. 28TCh. 10 - Prob. 29TCh. 10 - Prob. 30TCh. 10 - Prob. 31TCh. 10 - Prob. 32TCh. 10 - Prob. 1CRECh. 10 - Prob. 2CRECh. 10 - Prob. 3CRECh. 10 - Prob. 4CRECh. 10 - Prob. 5CRECh. 10 - Prob. 6CRECh. 10 - Prob. 7CRECh. 10 - Prob. 8CRECh. 10 - Prob. 9CRECh. 10 - Prob. 10CRECh. 10 - Prob. 11CRECh. 10 - Prob. 12CRECh. 10 - Prob. 13CRECh. 10 - Prob. 14CRECh. 10 - Prob. 15CRECh. 10 - Prob. 16CRECh. 10 - Prob. 17CRECh. 10 - Prob. 18CRECh. 10 - Prob. 19CRECh. 10 - Prob. 20CRECh. 10 - Prob. 21CRECh. 10 - Prob. 22CRECh. 10 - Prob. 23CRECh. 10 - Prob. 24CRECh. 10 - Prob. 25CRECh. 10 - Prob. 26CRECh. 10 - Prob. 27CRECh. 10 - Prob. 28CRECh. 10 - Prob. 29CRECh. 10 - Prob. 30CRE
Knowledge Booster
Background pattern image
Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Finite Math: Markov Chain Example - The Gambler's Ruin; Author: Brandon Foltz;https://www.youtube.com/watch?v=afIhgiHVnj0;License: Standard YouTube License, CC-BY
Introduction: MARKOV PROCESS And MARKOV CHAINS // Short Lecture // Linear Algebra; Author: AfterMath;https://www.youtube.com/watch?v=qK-PUTuUSpw;License: Standard Youtube License
Stochastic process and Markov Chain Model | Transition Probability Matrix (TPM); Author: Dr. Harish Garg;https://www.youtube.com/watch?v=sb4jo4P4ZLI;License: Standard YouTube License, CC-BY