Consider the matrix A = A. Verify that the matrix B: = I. 2 1 = = B. Use this fact to solve the following system of linear equations. 2x13x2 + x3 x1 + x₂ x3 -x₁ + x₂ 3x3 2, -3 1 1 1 -1 -3 1/7] 4/7 -1/7 -2/7 5/14 -3/14 is the inverse of matrix A. −1/7 −1/14 −5/14] -1, 0

Q: ( 4x + 4z = 4y – 4 4x + у %3D 2z + 5 (16 – 4z = 3x + 3y

A: Given a system of equation,  4x+4z=4y-44x+y=2z+516-4z=3x+3y Now rewriting each equation in the…

Q: Write the system of linear equations in the form Ax = b and solve this matrix equation for x.x1 + x2…

A: We can rewrite the system of linear equations as given below:…

Q: x+y+z- 2t = -4 x– 2y + 3z + 4t = 10 2x + 3y – z + 2t = 9 4x – y + 2z – t = -7

A: Here x+y+z-2t=-4x-2y+3z+4t=102x+3y-z+2t=94x-y+2z-t=-7Now converting given equations into matrix…

Q: Write the system of linear equations in the form Ax = b and solve this matrix equation for x. 2x₁ -…

A:

Q: Find the augmented matrix for the following system of linear equations. 6x1 + 8x3 = 5 5x1 – 6x2 +…

A:

Q: Consider the following system of equations. 2x2 + 7x= 44 -2x, + x2 + 4x 13 6x - 5x + 8x- 55 3x (a)…

A:

Q: Q1: Solve the set of equations using matrix: x+ 2y +3z = 1 y + 4z = 0 5x + 6y = 1

A: The given set of equations are…

Q: Write the system of linear equations 9x – 7y + 5z 3 — 8х — 1у — 92 -2 — бх + 1у — 52 2 as a matrix…

A:

Q: Find the augmented matrix for the following system of linear equations. 4x1 + 7x3 = -7 7x — Зх, +…

A:

Q: Use an inverse matrix to solve each system of linear quations or matrix equation.

A:

Q: Solve the matrix equation AX = B for X 3 - 2 -1] - 2 A = - 3 - 2 B = 14 %D - - | 2 2 1 4 X =

A:

Q: Use the inverse matrix to solve the following linear system. (2x + 3y + z = 4 (S):{3x + 3y + z = 8…

A:

Q: Q2) Solve the following linear system of equations using inverse matrix 3x + y = -1: 2y- 4z = 0 :x+…

A: The system of given linear equations is as follows 3x+y=-12y-4z=0x+2z=1 Rewrite as…

Q: h) Suppose we have the system of 4x – 3y = 5 and 5x + 3y = 4. You found the inverse of matrix A…

A:

Q: Write the given system of equations as a matrix equation and solve by using inverses. X₁ - 2x₂ K₁…

A: Solution

Q: Determine which of the points (-3, 1, -1), (5, 6, 4), and (6,-3, 3) satisfy the linear system 9x1…

A: Introduction: A collection of equations can be expressed using an expanded vector. Each entry in an…

Q: Consider the following system of equations. 2x1 + X2 + *3 = b1 X₁ - 3x₂ + 4x3 = ₂ -X1 + x3 = 3 (a)…

A:

Q: Consider the system [3x + 5y = 2r - 3y = -13. 9 a. Express the system in the form AX = B, where A,…

A: Inverse of a matrix:      The inverse of an n×n matrix A is an n×n  matrix B having the property…

Q: Express this system of equations in matrix form. Qai Qs1 Qai Qa2 a1 – bịP1 + eP2 = -c1 + d¡P1 Qs1 |…

A: First we simplify the equations and then find matrix form.

Q: Find the augmented matrix for the following system of linear equations. 3x1 + 5x3 = -6 - 5x2 + 2x3 =…

A:

Q: Find cofactor C2,1 of the matrix -2 -1 -1 7 5 -1 -17 6 2 8 6 0 -2 5 80

A: Answer Is in step 2.

Q: -use an inverse matrix to solve the given system of equations. X2 +x, =1 -x, +x,+2x, +x, =-5 x3 -x,…

A:

Q: 2x + y =2, 4x+3y=7. Find the solution(x=?,y=?) by using the Matrix calculation method including the…

A:

Q: 2. Express the system of linear equations as a matrix equation in the form Ax =b. - .x1+ 2x2 + x3-…

A:

Q: Show the following simultaneous equations in matrix form:           4x – 4y – 6 = 0…

A: To Show the following simultaneous equations in matrix form:           4x – 4y – 6 = 0…

Q: Use a software program or a graphing utility to solve the system of linear equations using an…

A: Given system of linear equations are,