Question

what is a if(2 4 3 a) is a singular matrix opyions 5 6 7 8

Answer 1

ANSWER

(A) For singular matrix deteminant of A =0

∣

∣

∣

∣

∣

∣

∣

∣

8

−6

2

−6

7

−4

2

−4

λ

∣

∣

∣

∣

∣

∣

∣

∣

=0

⇒2

∣

∣

∣

∣

∣

∣

−6

7

2

−4

∣

∣

∣

∣

∣

∣

+4

∣

∣

∣

∣

∣

∣

8

−6

2

−4

∣

∣

∣

∣

∣

∣

+λ

∣

∣

∣

∣

∣

∣

8

−6

−6

7

∣

∣

∣

∣

∣

∣

=0

⇒2(24−14)+4(−32+12)+λ(56−36)=0

⇒20−80+20λ=0

⇒λ=3