Home
Class 12
MATHS
If A is an orthogonal matrix, then A^(-1...

If A is an orthogonal matrix, then `A^(-1) equals`

A

`A^(T)`

B

A

C

`A^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If A = (1)/(3) [(1,2,2),(2,1,-2),(a,2,b)] is an orthogonal matrix, then a)a = - 2, b = - 1 b)a = 2, b = 1 c)a = 2, b = - 1 d)a = - 2, b = 1

If A is a singular matrix, then A adj A is: (i) Identity Matrix (ii) Scalar Matrix (iii) Null Matrix (iv) None of these

If the circles x ^(2) + y ^(2) - 8x - 6y + c= 0 and x ^(2) + y ^(2) - 2y + d =0 cut orthogonally, then c + d equals

If A is an invertible matrix of order 2, then det( A^(-1) )=

If n order square matrix A is orthogonal, then ladj (adj A)| is (i) Always - 1 if n is even (ii) Always 1 if n is odd (iii) Always 1 (iv) None of these

If A is a non-singular matrix of order 3, then adj (adj A) is equal to

Matrix A such that A^(2) = 2A - I , where I is the identity matrix, then for n ge 2, A^(n) is equal to a) 2^(n - 1) A - (n - 1) I b) 2^(n - 1)A - I c) n A - (n - 1) I d) nA - I

If B is a non singular matrix and A is a square matrix such that B^-1 AB exists, then det (B^-1 AB) is equal to

If the square of the matrix [[a,b],[a,-a]] is the unit matrix, then b is equal to a) (a)/(1+a^(2)) b) (1-a^(2))/(a) c) (1+a^(2))/(a) d) (a)/(1-a^(2))