Question: 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

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.

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


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

2 1


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

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

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