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Question
If A = `[(3, 2),(0, 5)] and "B" = [(1, 0),(1, 2)]` find the each of the following and state it they are equal: (A + B)(A – B)
Solution
Given
A = `[(3, 2),(0, 5)]`
and
B = `[(1, 0),(1, 2)]`
(A + B)(A – B)
= `{[(3, 2),(0, 5)] + [(1, 0),(1, 2)]} xx {[(3, 2),(0, 5)]- [(1, 0),(1, 2)]}`
= `[(3 + 1, 2 + 0),(0 + 1, 5 + 2)] xx [(3 - 1, 2 - 0),(0 - 1, 5 - 2)]`
= `[(4, 2),(1, 7)] xx [(2, 2),(-1, 3)]`
= `[(8 - 2, 8 + 6),(2 - 7, 2 + 21)]`
= `[(6, 14),(-5, 23)]`.
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