Question

If the matrix beginbmatrix 1 & 3 & λ+2
2 & 4 & 8
3 & 5 & 10 endbmatrix is singular, then λ=

• A. \(-2\)
• B. \(4\)
• C. \(2\)
• D. -4

Hint:

A matrix is singular if and only if its determinant is zero.

Answer 1

The Correct Option is A

For a singular matrix, determinant =0. Expanding the determinant and simplifying gives: λ + 2 = 0 ⟹ λ = -2