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Question
If `[(-1, 0),(0, 1)] [(a, b),(c, d)] = [(1, 0),(0, -1)]` find a,b,c and d
Solution
Given
`[(-1, 0),(0, 1)] [(a, b),(c, d)] = [(1, 0),(0, -1)]`
⇒ `[(a + 0, -b + 0),(0 + c, 0 + d)] = [(1, 0),(0, -1)]`
⇒ `[(-a, -b),(c, d)] = [(1, 0),(0, -1)]`
Comparing the corresponding elements
–a = 1
⇒ a = –1
–b = 0
⇒ b = 0
c = 0 and d = –1
Hence a = –1, b = 0, c = 0, d = –1.
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