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If [[x-y,z],[2x-y,w]]=[[-1,4],[0,5]] find the value of x+y. - Mathematics

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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.

xy=1      ...(1)

And 2xy=02x=y

Considering the value of y in eq (1), we get:

x2x=1x=1

and y=2

Hence, the value of x + y is 2 + 1 = 3.

Concept: Equality of Matrices
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