A = 32 23 -1 1 E₁ = Suppose that: E₂ = and B = Given the following descriptions, determine the following elementary matrices and their inverses. a. The elementary matrix E₁ multiplies the first row of A by 1/5. E3 = 4 4 -3 2 -5 1 E4 = -2 5 -1 b. The elementary matrix E₂ multiplies the second row of A by -3. ‚E₁¹ = Ez¹ = c. The elementary matrix E3 switches the first and second rows of A. 88 ,E¹ = d. The elementary matrix E4 adds 5 times the first row of A to the second row of A. E ,E¹ =

Q: 2. Determine the inverse of the matrix. -5 4 -4] 6. A = 1 1 1 -2 -9 3 2 8 -1

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Q: 3: For the matrices, A = [1 and B = 01 -31 (a). Show that, (A+ B)" AT +B". (b), Show that, (AB)-1 =…

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A: Please follow the next step.

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Q: How do you find the inverse of this matrix?

A: We first find the determinant of the matrix to check if the matrix is invertible or not.

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Q: Q2. Please solve question and show steps. Thanks.

A: For the matrix-A=⎣⎢⎡​1−23​010​102​⎦⎥⎤​A−1=⎣⎢⎡​−2−43​010​121​⎦⎥⎤​So option (d) is…