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If P is non-singular matrix, then value ...

If `P` is non-singular matrix, then value of adj`(P^(-1))` in terms of `P` is

A

a.`P//|P|`

B

b. `P|P|`

C

c. `P`

D

d. none of these

Text Solution

Verified by Experts

`because adj (P^-1) = abs(P) (P^-1) ^(-1) = abs(P ) P = P " "[because abs(P)= 1]`
and `adj (Q^(-1) BP^(-1))=adj (P^-1)cdotadjBcdotadj(Q^(-1))`
`=P/abs(P) A cdot Q/abs(Q) = PAQ" " [because abs(P) = abs(Q) =1]`
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