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Given a = [(4, 1),(2, 3)] and B = [(1,0),(-2, 1)] Find A^2 - Ab + 2b -

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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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