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Given `A = [(4, 1),(2, 3)]` and `B = [(1, 0),(-2, 1)]` Find `A^2 - Ab + 2b` - ICSE Class 10 - Mathematics

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Question

Given `A = [(4, 1),(2, 3)]` and `B = [(1, 0),(-2, 1)]` Find `A^2 - AB + 2B`

Solution

`A^2 - 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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Solution Given `A = [(4, 1),(2, 3)]` and `B = [(1, 0),(-2, 1)]` Find `A^2 - Ab + 2b` Concept: Addition and Subtraction of Matrices.
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