Questions
Suppose A, B are two 3×3 matrices such that A–1 exists. Then is equal to
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a
(A+B)A−1(A−B)
b
A−1B+B2
c
I−BAB−1(A−B)
d
I+BAB−1(A+B)
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Correct option is A
(A−B)A−1(A+B)=I−BA−1(A+B)=A+B−BA−1A−BA−1B=A−BA−1B=A+B−BA−1A−BA−1B=(A+B)−BA−1(A+B)=(A+B)I−BA−1=(A+B)A−1(A−B)Similar Questions
Let A be an invertible matrix. Which of the following is not true?
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