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Inverse of a Matrix

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Find the inverse of a matrix.

Matrix row 1 = [-1 2] row 2 = [1 3]
Find the inverse of this matrix.

a) Find A-1
b) Find A3
c) Find (A-1)3
d) Use your answers to (b) and (c) to show that (A-1)3 is the inverse of A3.

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This solution is comprised of detailed step-by-step calculations and explanation of how to calculate the inverse of a matrix.

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The matrix is given as A = [ ■(-1&2@1&3)]
A11 = 3, A12 = -1, A21=-2, A22 = -1
Adjoint A = [■(A_11&A_12@A_21&A_22 )] = [■(3&-1@-2&-1)]
I A I = 3 x (-1) - 2 x 1 = -3-2= ...

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