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Question
`If [[x-y,z],[2x-y,w]]=[[-1,4],[0,5]]`Find X,Y,Z,W.
Solution
Given: `[[x-y z],[2x-y w]]=[[-1 4],[0 5]]`
Since all the corresponding elements of a matrix are equal,
x−y=−1
⇒x=−1+y ...(1)
2x−y=0 ... (2)
z=4
w=5
Putting the value of x in eq. (2), we get
2(−1+y)−y=0
⇒−2+2y−y=0
⇒−2+y=0
⇒y=2
Putting the value of y in eq. (1), we get
x=−1+2
⇒x=1
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