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Question
A = `[(x, 0),(1, 1)]`, B = `[(4, 0),(y, 1)]` and C = `[(4, 0),(x, 1)]`. Find the values of x and y, if AB = C.
Solution
Given A = `[(x, 0),(1, 1)]`, B = `[(4, 0),(y, 1)]`, C = `[(4, 0),(x, 1)]`
Now, AB = C
`[(x, 0),(1, 1)] [(4, 0),(y, 1)] = [(4, 0),(x, 1)]`
`\implies [(4x, 0),(4 + y, 1)] = [(4, 0),(x, 1)]`
Then, by equality of matrix
∴ 4x = 4
⇒ x = 1
And 4 + y = x
⇒ 4 + y = 1
y = – 3
Hence, x = 1 and y = – 3.
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