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The rank of the matrix [[-1,2,5],[2,-4,a...

The rank of the matrix `[[-1,2,5],[2,-4,a-4],[1,-2,a+1]]` is (where a = - 6)

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Let `A = [[-1,2,5],[2,-4,-10],[1,-2,-5]]` `[because a = -6]`
Applying `R_(2) rarr R_(2) + 2R_(1) and R_(3)rarr R_(3) + R_(1)` then
`A = [[-1,2,5],[0,0,0],[0,0,0]] rArr p (A) =1`
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