Solve the following problems by using the inverse of the matrix involved. (a) An automobile factory produces two models, A and B. Model A requires 1 labor hour to paint and - labor hour to polish; model B requires 1 labor hour for each process. During each hour that the assembly line is operating, there are 70 labor hours available for painting and 60 labor hours for polishing. How many of each model can be produced each hour if all the labor hours available are to be utilized? (b) Suppose each model A requires 10 widgets and 14 shims and each model B requires 7 widgets and 10 shims. The factory can obtain 760 widgets and 1070 shims each hour. How many cars of each model can it produce while using all the parts available? (a) Model A: Model B:

Q: Solve the following problems by using the inverse of the matrix involved. 1 (a) An automobile…

A:

Q: Find the inverse of the matrix (if it exists).

A:

Q: Solve the following problems by using the inverse of the matrix involved. labor hour to polish;…

A: (a) Given An automobiles factory produces two models A and B.  Model A requires 1 labor hours to…

Q: 6. Find the inverse of the matrix if it exists by using elementary row operation, 2 4 1 -1 1 -1

A:

Q: In Problem,show that each matrix has no inverse.

A: A matrix is a rectangular array in which elements are arranged in rows and columns. A matrix B has…

Q: If X is an unknown matrix And A and B are known : [A]×[x]=[B]_ 5x5 5×1 [x] = ?

A: Given matrix A is of order 5×5 and matrix B of order 5×1 and A5×5×x=B5×1 We have to find the matrix…

Q: For matrix A = [8 -19 16], AAT is

A:

Q: Solve the following system using the inverse of the coefficient matrix. −2x + 2y + 4z = 3 −3x + 4y…

A: We have the system of linear equations: -2x+2y+4z=3-3x+4y+5z=1x+2z=2 This can be written in the form…

Q: Demonstrate that A A-1 = A-1 A = I

A:

Q: Find the inverse of the matrix (if it exists).

A:

Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists)

A:

Q: Solve the following problems by using the inverse of the matrix involved. 1 (a) An automobile…

A: As no particular question is asked , so I am solving the first one only (a) Let number of model A be…

Q: Some ecologists divided a female bird population into three categories: juvenile (up to 1 yr old),…

A: Here we have to use matrix multiplication to find number of birds of each category

Q: Find the inverse of the matrix if it exists.

A: Find the inverse of the matrix if it exists.     6-3-84

Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists).

A: Given: -243-1

Q: Find the inverse of the matrix, if x = 8' and y = 0 respectively. (1 1 x 1 2 -1 2 1 -1 (1 3 3 y 1 1…

A: Putting x=1 and y=0, the required matrix will be 1181 12-12 1-121 1330 We have to find the inverse…

Q: Find the numbers of the pivots to the matrix below: 2 1 1 1 2 -1 0 1 4 4 4 -3 11 O 4 O 2 O 3 O 1

A:

Q: Find the inverse of the matrix if it exists.

A: Given matrix : 241-11-1140 The objective is to find the inverse of the matrix.

Q: Find the inverse of the given matrix if the matrix is invertible, and check your answer by…

A: Topic = Matrices

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) -3 -2 -6 3…

A:

Q: Solve the following system by inverting the coefficient matrix. x1 + 3x2 + X3 2x1 + 2x2 + x3 2x1 +…

A:

Q: Solve the following problems by using the inverse of the matrix involved.   ​(a) An automobile…

A: Solve the following problems by using the inverse of the matrix involved. ​(a) An automobile factory…

Q: 8 Consider a square matrix B whose inverse is given by B'. a In terms of B", what is the inverse of…

A:

Q: Find the transpose of the matrix.

A:

Q: 1. Let A = |-2 B=-1 3, and C = -4] 1 2 For each of the following matrix operations undefined,…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the inverse of the matrix if it exists. 2 10 1 2 2 1 4 4

A:

Q: Find the inverse of the given 3x3 matrix. By Gaussian elimination. -1] 0 1 1 -2 1 -1 0. 1.

A: We have to find the inverse of the matrix  12-1-2011-10  by Gaussian elimination.

Q: Consider the following linear system: + 2x2 + Y1 3x2 + 4x3 Y2 2x1 + 4.x2 + Y3 which in matrix form…

A: The detailed solution is given below Thank you

Q: Find the inverse of the matrix and verify that A-1 A = AA-1 =  I2 and B-1 B = BB-1 = I3.

A: Given matrix: A=7432

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) -5 -3 -6 4…

A:

Q: Find the inverse of the matrix and verify that B-1B = BB-1 = 1I3. 3 9 6 B = 0 6 6 -6 -3 0 B-1

A: To find inverse of the matrix B=   3   9   6   0   6   6-6-3   0

Q: Let A = X= 5 -7 -3 -5 and B = 7 5 2-3 7-6 -7 -4 Solve the matrix equation 3X + 3A = B for X. (Type…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) -5 3 -6 -2…

A:

Q: Find the inverse of the matrix (if it exists).

A: Determinant is not zero,therefore inverse matrix exists.

Q: Find the inverses (in any legal way) of the matrix A, where 3 -2 A = 1 if it exists. -1 -1 1

A:

Q: If the matrix does not have an inverse, what is the value of y in terms of x? 0 0 0 0

A:

Q: Find the rank of the following matrix. -1 3D1 0. 3. 4 2 1 4 |

A: given matrix is -1-100002340-213-104find the rank of the matrix

Q: Find the inverse of the matrix if it exists. 4 2 3 3 3 2 1 0 1

A: Inverse of a matrix exists if the determinant of the matrix is non-zero.Here the given matrix is-

Q: Find the inverse of the matrix and verify that A-1 A = AA-1 =  I2 and B-1 B = BB-1 = I3.

A: see below the answer

Q: What must be the matrix X, if 2 2X + 3 4 3 8 7 2

A: we have to find the matrix X if 2X+1234=3872

Q: Use the following matrix. A = -1 −2 0 3 2 1 5 2 1 What is the sum of matrix A and its…

A: Given, A=-1-20321521

Q: In a special diet for a hospital​ patient, the total amount per meal of food groups​ A, B, and C…

A: From the given information, it is observed that the total quantity of a meal is 330 g.Let x, y and z…

Q: Find the inverse of the matrix if it exists. 1 -1 4 6 5

A: We need to find the inverse of

Q: Some ecologists divided a female bird population into three categories: juvenile (up to 1 yr old),…

A:

Q: Find the transpose of the matrix. -1 1 D = 5 -3 -2 4

A: Given D=-115-3-24We know that transpose of matrix A=1234 is AT=1432

Q: Find the inverse of the matrix, B = 5 -3 6 -3 Non-integers should be given either as decimals or as…

A: Given,            B=5-36-3