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Question
For what values of a and b if A = B, where
`A = [[a + 4 3b],[8 -6]] B = [[2a +2 b^2+2],[8 b^2 - 5b]]`
Disclaimer: There is a misprint in the question, b2 − 5b should be written instead of b2 − 56.
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Solution
As the given matrices A and B are equal, therefore, their corresponding elements must be equal. Comparing the corresponding elements, we get
a + 4 = 2a + 2 3b = b2 + 2
8 = 8 −6 = b2 − 5b
On simplifying, we get
a = 2 and the common value of b = 2.
Hence, the values of a and b are 2, 2.
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