In Example 5, in A change −2 to 2 and −3 to 3, in B change 2 to −2 and 3 to −3, and then do the multiplications.

Data from Example 5

For the given matrices A and B, show that AB = BA = I, and therefore that B = A⁻¹.

Forming the products AB and BA, we have the following:

Since AB = I and BA = I, B = A⁻¹ and A = B⁻¹.

Transcribed Image Text:

A = [ 1 -2 3 7 1 B | }] 73 2 1