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Question
Find x and y, if `[(x, 0),(-3, 1)][(1, 1),(0, y)] = [(2, 2),(-3, -2)]`
Solution
`[(x, 0),(-3, 1)][(1, 1),(0, y)] = [(2, 2),(-3, -2)]`
`[(x xx 1 + 0 xx 0, x xx 1 + 0 xx y),(-3 xx 1 + 1 xx 0, -3 xx 1 + 1 xx y)] = [(2, 2),(-3, -2)]`
`[(x + 0, x + 0),(-3 + 0, -3 + y)] = [(2, 2),(-3, -2)]`
`[(x, x),(-3, -3 + y)] = [(2, 2),(-3, -2)]`
Comparing the corresponding elements, we get
x = 2
–3 + y = –2 `=>` y = –2 + 3 = 1
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