Consider the matrix A = [ 1 -3 -3, -1/2 1 1, 1 -2 -1] (a) Use elementary row operations to find the inverse of A. (b) Hence or otherwise solve the system: x-3y-3z=7 ,-1/2x+y+z=-3, x-2y-z=4 (c) Express A-¹ as a product of elementary matrices. (d) Express A as a product of elementary matrices. Give an explicit expression for each elementary matrix.

Solve the system: 2x + 3y = 7, 3x - 5y = 1Question 3Select one:a.(2, 1)b.(1, 2)c.(0, 0)d.There is no solutione.None of these

Which matrix operation is used to solve a system of linear equations? a. Addition b. Subtraction c. Multiplication d. Inversion

Apply elementary operations of linear system, solve the following system of linear equations.State your steps clearly. (hint: please use Gaussian elimination when conducting row opera-tions)(a)2x1 + 3x2 = 24x1 − 5x2 = 15(b)x1 + x2 − x3 = 62x1 + 4x2 + 5x3 = 113x1 + 4x2 + 10x3 = 8

Let A be a matrix as follows Find the inverse of the matrix by [A:I] (if it exists).Find the inverse of the matrix by [A:I] (if it exists), by finding the values of x, y, z, and w.X= Answer       Y= AnswerZ=Answer         W= Answer

Find the inverse of the matrix A = [2 5; 1 3].a.[3 1; -5 2]b.[3 -5; -1 2]c.[2 -5; 1 3]d.[3 -1; -5 2]