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Question
Find the values of x and y if
`2 [(x,5),(7,y-3)] [(3,-4),(1,2)] = [(7,6),(15,14)]`
Solution
Given `2 [(x,5),(7,y-3)] [(3,-4),(1,2)] = [(7,6),(15,14)]`
`=> [(2x,10),(14,2y-6)] + [(3 ,-4),(1,2)] = [(7,6),(15,14)]`
`=> [(2x+3,6),(15,2y-4)] = [(7,6),(15,14)]`
By equations of matrices
2x + 3 = 7 and 2y - 4 = 14
⇒ 2x = 4 and 2y = 18
∴ x = 2 and y = 9.
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