Question:
If the matrix
beginpmatrix
1 & 3 & λ+2
2 & 4 & 8
3 & 5 & 10
endpmatrix
is singular, then λ=
If the matrix
beginpmatrix
1 & 3 & λ+2
2 & 4 & 8
3 & 5 & 10 endpmatrix is singular, then λ=
2 & 4 & 8
3 & 5 & 10 endpmatrix is singular, then λ=
Show Hint
Singular matrix ⟹ determinant =0.
Updated On: Mar 20, 2026
- \(-2\)
- \(4\)
- \(2\)
- -4
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The Correct Option is A
Solution and Explanation
Step 1: Determinant must be zero for singular matrix. beginvmatrix 1 & 3 & λ+2
2 & 4 & 8
3 & 5 & 10 endvmatrix=0
Step 2: Expanding gives: (1)(40-40)-3(20-24)+(λ+2)(10-12)=0 12-2(λ+2)=0 ⟹ λ=-2
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