Questions
Let A be an invertible matrix. Which of the following is not true?
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a
AT−1=A−1T
b
A−1=|A|−1
c
A−2=|A|−1
d
A−1=|A|−1
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Correct option is B
We know that AT−1=A−1TSo, option (a) is true.In option (b), A−1 is a matrix and |A|−1 is a number. So, it is not true. Now,A2A−12=(AA)A−1A−1⇒ A2A−12=AAA−1A−1=(AI)A−1=AA−1=I∴ A2−1=A−12So, option (c) is true.Similar Questions
Let M be a 3 x 3 non-singular matrix with
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