Question

If |A| = 0, then A is
(a) zero matrix
(b) singular matrix
(c) non-singular matrix
(d) 0

Answer 1

l think the answer is b

Answer 2

Answer:

5−x

2

λ+1

4

∣

∣

∣

∣

∣

∣

is singular

⇒

∣

∣

∣

∣

∣

∣

5−λ

2

λ+1

4

∣

∣

∣

∣

∣

∣

⇒ 4(5−λ)−2(λ+1)=0

⇒ 20−4λ−2λ−2=0

⇒ −6λ=−18

⇒ λ=3

∴ For λ=3, the given matrix is singular