Question: Given evaluate A 2 and A 3 . Verify that where I is the unit matrix of order 3. Using this result, or otherwise, find

Given

A = 1 1 2 1 -2 2 -1 1 1 -

evaluate A2 and A3. Verify that

A - A-3A+I = 0

where I is the unit matrix of order 3. Using this result, or otherwise, find the inverse A–1 of A, and hence solve the equations

x+y + z = 3 2x + y + 2z = 7 -2x + y - z = 6

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