If A= [ array lll 3 & -3 & 4 2 & -3 & 4 0 & -1 & 1 array ], B=( adj A) and C=5 A , then |C| | adj B| is equal to

Step-by-step solution

We have, aligned A &= [ array lll 3 & -3 & 4 2 & -3 & 4 0 & -1 & 1 array ] Now, |A| &= [ array lll 3 & -3 & 4 2 & -3 & 4 0 & -1 & 1 array . &=3(-3+4)+3(2-0)+4(-2-0) &=3+6-8=1 Now, |C| | adj B| &= |5 A| |B|³⁻¹ = 5³|A| |B|² = 5³|A| | adj A|² &= 5³|A| (|A|² )² = 5³|A| |A|⁴ = 5³ |A|³ &= 5³ 1³ =5³ aligned