If A=⎡⎢⎣11−12−343−23⎤⎥⎦,B=⎡⎢⎣−1−2−161265105⎤⎥⎦ and C=⎡⎢⎣−1−1122−2−3−33⎤⎥⎦, which if the following are null matrices ?
A
CA
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B
AB
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C
BA
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D
AC
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Solution
The correct options are ACA BAB Given A=⎡⎢⎣11−12−343−23⎤⎥⎦,B=⎡⎢⎣−1−2−161265105⎤⎥⎦ and C=⎡⎢⎣−1−1122−2−3−33⎤⎥⎦