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Question

If the matrix A=⎢ ⎢ ⎢123024323213687α⎥ ⎥ ⎥ is of rank 3, then α=

A
1
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B
5
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C
4
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D
4
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Solution

The correct option is B 5
Since the matrix has 3 linear independent rows.
then R4 must be linear combination of R1,R2,R3
R4=R1+R2+R3
α=0+2+3
α=5

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