Question

A and B are squares of matrix of order 3 such that AB=BA=I IF det(b) = 1/5 then value of det(a) wil be? can u help me with right steps

Answer 1

Step-by-step explanation:

We know that

∣AB∣=∣A∣∣B∣

Also for a square matrix of order 3

∣KA∣=K

3

∣A∣because each element of the matrix A is multiplied by k and hence in this case we will have k

3

common.

∴∣3AB∣=3

3

∣A∣∣B∣=

=27(−1)(3)=−81

Hope its help..

Answer 2

Answer:

-81 is the correct Answer