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Question
Find x and y if `x[(-1), (2)] - 4[(-2), (y)] = [(7),(-8)]`
Solution
`x[(-1), (2)] - 4[(-2), (y)] = [(7),(-8)]`
`[(-x),(2x)] - [(-8),(4y)] = [(7),(-8)]`
`[(-x + 8),(2x - 4y)] = [(7),(-8)]`
Comparing corresponding the elements, we get,
– x + 8 = 7 and 2x – 4y = – 8
Simplifying, we get,
x = 1 and y = `5/2` = 2.5
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