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Question
If `[[x-y,z],[2x-y,w]]=[[-1,4],[0,5]]` find the value of x+y.
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Solution
`[[x-y,z],[2x-y,w]]=[[-1,4],[0,5]]`
It is known that if two matrices are equal, then their corresponding columns and rows are also equal.
x−y=−1 ...(1)
And 2x−y=0⇒2x=y
Considering the value of y in eq (1), we get:
x−2x=−1⇒x=1
and y=2
Hence, the value of x + y is 2 + 1 = 3.
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