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Question

Let A=100210321 , If μ1 and μ2 are column matrices such that Aμ1=100 and Aμ2=010, then μ1+μ2 is equal to:


A

110

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B

111

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C

110

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D

111

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Solution

The correct option is D

111


A(μ1+μ2)=110
Now |A|=1
A1=1|A|adj A
μ1+μ2=A1110=100210121110=111


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