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Given A = [4123] and B = [10-21], find A2 – AB + 2B - Mathematics

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Question

Given A = `[(4, 1),(2, 3)]` and B = `[(1, 0),(-2, 1)]`, find A2 – AB + 2B

Sum
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Solution

A2 – AB + 2B

= `[(18, 7),(14, 11)] - [(2, 1),(-4, 3)] + 2[(1, 0),(-2, 1)]`

= `[(16, 6),(18, 8)] + [(2, 0),(-4, 2)]`

= `[(18, 6),(14, 10)]`

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