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Question
`If [[xy 4],[z+6 x+y ]]``=[[8 w],[0 6]]`, then find the values of X,Y,Z and W .
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Solution
As the given matrices are equal, therefore, their corresponding elements must be equal. Comparing the corresponding elements, we get
xy = 8 4 = w
z + 6 = 0 x + y = 6
On simplifying, we get
x = 2, y = 4, z = −6, w = 4 or x = 4, y = 2, z = −6, w = 4
Hence, the values of x, y, z and w is 2, 4, −6, 4 or 4, 2, −6, 4
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