a13]and B = || a21ГКа1 Ка12 Казa22[a11 a12a23 then |B| = k|A\.Q:4) a) If A = a21 a22 a23[a31 a32 a33]a31a32A33b)Drive the quadratic formula by completing square method.

Given: A=a11a12a13a21a22a23a31a32a33B=Ka11Ka12Ka13a21a22a23a31a32a33

Answered: [a11 a12 a13] Q:4) а) If A %3D |а21 а22…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 55RE

See similar textbooks

Related questions

Q: what is the relationship between the column space of A and the consistent system Ax=b? how are the…

A: To explain the relationship between the column space of A and consistent system Ax=b and to explain…

Q: Use Cramer’s rule to solve the system.

A: Cramer's rule is used to find the solution of system of linear equations. Using Cramer's rule, the…

Q: Use GAUSS ELIMINATION METHOD WITH 2x -y -67 = -2 %3D X - Sy -7 =-8 4 x ty-Z = 13 To SOLVE PA RTIAL…

A: The given system of equations 2x-y-6z=-2…

Q: Use the QR factorization to solve the system Ax %3D

Q: Obtain factorization of the form4=LU,where L is lower triangular with 1s on its 8 20 15] diagonal…

Q: Exercise 5 Find a (real) general solution. Show each step of your work. y" + 5y/ + 4y = 10e-

A: 5) → Given differential equation is y" + 5y' + 4y = 10e-3xFirst find the complementory…

Q: Q2: Use Cramer's Rule to solve the system:- 4x – y + z = -5 2x + 2y + 3z = 10 5x – 2y + 6z = 1

A: Given, The system of equations are 4x-y+z=-5 2x+2y+3z=10…

Q: 4)A)iPA mxn mabrx and CCA)- R'then? a. A is 6x6 inUerbible mabrix b)A is 6x6 mabine C Ais 6X6…

Q: 9. Find the least-square solution of Ax = b, where 1 -2 3 -1 2 1 A = and b= 3 -4 2

A: Given matrices: A=1-2-120325 and b=31-42 Now, Ax=b 1-2-120325x1x2=31-42 Finding ATA:

Q: 7. For what values of k will the system 2x + ky + z = 0 (k – 1)z – y + 2z = 0 4x + y + 4z = 0 have…

Q: Let 9. , аз 10 , a2 a4 %3D 18 Describe all solutions of a1x1 + a2x2 + a3x3 + a4x4 = 0. I1 I2 +x3 +…

A: Please see the explanation below

Q: (1 3 Find the Least Square Solution to Ax = b with A = (2 4),b = %3D 1

Q: For the system below, (b) is not in the column space of Ax = b. %3D 4 -1 [x2 [3 11 -2 What method…

Q: Q2 // Calculate x1,X2 ,X3 from the fallowing equations by using Gauss Elimination method. 3x1 + x2 +…

Q: (i) Use x.and x.as the initial basic variables and apply simplex method to solve: Маximize: z - бх.…

Q: Show answer clearly.

Q: Find the least square solution of the system Ar = b, where %3D 1 2 3 2 -3 A = and b = 1 -1 - -1 2 -3

A: The given matrix is and the least square solution to the system Ax=b is solution to find find…

Q: 2 -1 dr 7. Approximate/1 using three rectangles and the right endpoint method.

A: Riemann sum

Q: 1. Use the simplex method to solve the following problem. Also verify your an using the dual of the…

A: We are not allowed to give handwritten solutions unless and until the question is too complex to…

Q: Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm of Ax…

A: We are given the system of the linear equation x1+12x2+13x3=5612x1+13x2+14x3=51213x1+14x2+15x3=1760…

Q: For which numbers a does elimination break down (1) permanently (2) temporarily?ax+ 3y = -34x + 6y =…

A: Given: Let us consider the given system, ax + 3y = -3 4x + 6y = 6

Q: Use Cramer's rule to solve the following system of equations: -8x+2z = 1, 6y+4z=3, 12x+2y=2.

Q: Q2 // Calculate X1, X2 ,X3 from the fallowing equations by using Gauss Elimination method. 3x1 + x2…

A: Gauss Elimination Method: The Gaussian elimination method is known as the row reduction algorithm…

Q: Use Cramer’s Rule to solve the system.

A: 2x=3y+25x=51-4yx=DxD, y=DyD

Q: 4) Use Cramer's rule to solve the following linear system: I1 – 3r2 + 13 = 4 271 – 12 = -2 4.x1 –…

A: Given problem is :

Q: Solve it correctlys

Q: (a) Verify that yp, = 3e2* and y,, =x² + 3x are, respectively, particular solutions of y" – 6y' + 5y…

A: To verify the given statement and to find particular solutions by using the given statement.

Q: Solve the system of Example 4.6 4x - 2y - z = 40 x - 6y + 2z = -28 x - 2y + 12z = -86 by using…

Q: Use Gauss elimination to solve 3x1 – 0.1x2 – 0.2x3 = 7.85 0.1x1 + 7x2 – = -19.3 0.3.x3 %3D 0.3x1 –…

A: First we will convert the given system into matrix form AX=B and apply the Gauss elimination on…

Q: Q 6. Solve the following primal LPP and its dual by simplex method : Max. Z, = 5x1 + 12x2 + 4x3 ,…

Q: 3. Solve the following LP problem using simplex method: 3 min z = --4 + 20x5 1 + 6x7 s.t. 1 X4 8x5 -…

Q: Use Cramer's rule to solve the system: S5x + 4y = 12 ( 3х - бу — 24.

A: To use Cramer's rule to solve the system:5x+4y=123x-6y=24

Q: 9.12 Use Gauss-Jordan elimination to solve: 2x1 + x2 - x3 = 1 5x1 + 2x2 + 2x3 = -4 3x1 + x2 + x3 = 5…

A: Use Gauss-Jordan elimination to solve: 2x1+x2-x3=1. 5x1 + 2x2 + 2x3 = -4 3x₁ + x2 + x3 = 5

Q: 3. Page 922 #10 a. Solve using the "Reduced Row Echelon Form" option from the LAT. Make screen shots…

Q: Max z = -4X1-6)C? Subject to the constraints, lox, +4)623 つC>。X2N。 Solve by Gna phicaL Method -

Q: a) Verify that yp1=3e^2x and yp2=x^2+3x are, respecively, particular solutions of y''-6y'+5y=-9e^2x…

Q: 9.13 Solve: X1 + x2 - x3 = -3 6x1 + 2x2 + 2x3 = 2 -3x1 + 4x2 + X3 = 1 with (a) naive Gauss…

Q: Solve the following system of linear equations by the Gauss-Jordan elimination method. Show every…

Q: 2. Obtain the solution set of z* - j3z² – 2 = 0. (Hint: factoring and quadratic formula)

Q: SOLVE A SYSTE M OF LINEAR EQUATIONS LU DECOMPOSI TION METHOD USING 2x + 2y +2 : 5 1X+ 32 : 5 EX +Hy…

A: Given 2x+2y+z=5x+3z=5-x+4y=2

Q: Q2 // Calculate x1,X2,X3 from the fallowing equations by using Gauss Elimination method. 3x1 + X2 +…

A: Given: 3x1+x2+x3=-8 2x1-3x2-2x3=-5 7x1+x2-x3=0 Converting given equations…

Q: Use Gauss elimination, and not any other method, to find all solutions to the following system of…

A: Gauss elimination is a method of solving a linear system Ax =b by bringing the augmented matrix to…

Q: Apply the Jacobi method to solve 5x1 – 2x2 + 3x3 = -1 -3x1 + 9x2 + X3 = 2 2x1 – x2 – 7x3 = 3 |

Q: Use Cramer's Rule to solve the system. 2x − 4y + z = 16 7y − 5z = −1…

Q: 7. For what values of k will the system 2z + ky + z = 0 (k – 1)x – y + 2z = 0 4x + y + 4z = 0 have…

Q: Find all solutions of the linear system *1 + 2r2 + 2r3+ 4 = 14 -I1 - 2x2 - 3r4 = -4 2r1 + 4r2 + 8r3…

A: Consider the linear system…

Q: Find the least-squares solutions * of the system AF = 6, where [1 3 A and 6 = 2 6

A: Given: A=1326 and b→=57 To find: Least square solution x→ of a system Ax→=b→

Q: Let:Zi= 1-J3 そ5= -3-j4 Z2=-2tj5 Z4=Itjb %3D Solves (a)そZ2 そ4 そi+2z (b) ZI そちそそeZs

A: We know, j2= -1 So, j3=-j, j4=1, j5=j, j6=-1 and so on...

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

a13]
and B = || a21
ГКа1 Ка12 Каз
a22
[a11 a12
a23 then |B| = k|A\.
Q:4) a) If A = a21 a22 a23
[a31 a32 a33]
a31
a32
A33
b)Drive the quadratic formula by completing square method.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

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

Use Gauss elimination, and not any other method, to find all solutions to the following systemof equations, or show that no solutions exist. Be sure to show all row operations used.y − 2z = −12x + 8z = 6x + y + 2z = 8
The entries of A are aij. Assuming that zeros don't appear, what is(a) the first pivot?(b) the multiplier L31 of row 1 to be subtracted from row 3?(c) the new entry that replaces a32 after that subtraction?(d) the second pivot?
Prove using the IVT. 2x = bx has a solution if b > 2.
Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove by exhaustively checking every possible candidate solutions.
Suppose the second column of B is all zeros. What can you say about the second column of AB?
3. Solve using Gauss Jordan Elimination Method. Compute also for x, y and z.
Solve the following system of linear equations by the Gauss-Jordan elimination method. Show every step of your work indicating the elementary row operations used. x + 3y + 2z = 7−2x + 4y + 6z = 166x + 3y + 6z = 33
Use Cramer's rule to solve the system. 3x − 5y − 4z = −13 5x − 4y − 4z = −21 x − 5y = −15 The solution set is ,,.
Solve the following system of liniar equation by gauss-Jordan method.
If the last corner entry is A ( 5, 5) = 11 and the last pivot of A is U ( 5, 5) = 4, what different entry A(5, 5) would have made A singular?
Farmer S. Unkist has a fruit grove consisting of lemons, bananas, and watermelons along a straight moat. To prevent thieves from stealing his fruit while at the same time make sure the fruit do not mix before they are processed, he plans to fence in each fruit plot using identical rectangular enclosures. The side along the moat needs no fence because the moat is infested with man eating crocodiles as shown below. If he has 1200 yards of fence, what should be the dimensions of each enclosure if the total area of the grove is to be maximized? PLEASE USE CALCULUS TECHNIQUES TO OBTAIN YOUR ANSWER AND SHOW ALL WORK.
5.1) Solve the given system of equations. using Cramer's rule