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Question
`If [[2x +1 5x],[0 y^2 +1]]``= [[x+3 10],[0 26 ]]`, find the value of (x + y).
Solution
As the given matrices are equal, therefore, their corresponding elements must be equal. Comparing the corresponding elements, we get
2x + 1 = x + 3 5x = 10
0 = 0 y2 + 1 = 26
On simplifying, we get
x = 2 and y = ± 5
Therefore, x = 2 and y = ± 5
or x + y = 2 − 5 = −3
Hence, the value of (x + y) is 7, −3.
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