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If A = [abcd] then find the value of |A|−1. - Mathematics and Statistics

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Question

If A = `[("a", "b"),("c", "d")]` then find the value of |A|−1.

Sum
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Solution

|A| = `|("a", "b"),("c", "d")|`

= ad – bc

∴ |A|−1 = `1/("ad" - "bc")`     ...`[∵ |"A"^-1| = 1/|"A"|]`

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