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A square matrix B is said to be an ortho...

A square matrix `B` is said to be an orthogonal matrix of order `n` if `BB^(T)=I_(n)` if `n^(th)` order square matrix `A` is orthogonal, then |adj(adjA)| is

A

may be `-1` if `n` is even

B

greater than `1` in all cases

C

always `1`

D

always 1 if `n` is odd

Text Solution

Verified by Experts

The correct Answer is:
A, B
`AA^(T)=Iimplies|A|=+-1`
`|adj(adjA|=|A|^(n-1)^(2)`
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