Home
Class 12
MATHS
If A be an orthogonal matrix, then the v...

If A be an orthogonal matrix, then the value of `A^(-1)` will be -

A

A

B

`A^(T)`

C

`A^(2)`

D

`A^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|38 Videos

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTION|9 Videos

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE ADVANCED ARCHIVE 2016|5 Videos

Similar Questions

Explore conceptually related problems

If A be a proper orthogonal matrix, then-

If the curves y^(2)= 4x and xy = k cut orthogonally, then the value of k^(2) will be-

If A is a 2xx2 invertible matrix, then value of det A^(-1) is

If A is an orthogonal matrix then A^(-1) equals a. A^T b. A c. A^2 d. none of these

If the inverse of the matrix A exists, then the value of det(A^(-1))=

If P is non-singular matrix, then value of adj(P^(-1)) in terms of P is (A) P/|P| (B) P|P| (C) P (D) none of these

If the inverse of the matrix A exists, then the value of det (A^-1)

If 4x^(2)+ py^(2) =45 and x^(2)-4y^(2) =5 cut orthogonally, then the value of p is

A be a square matrix of order 2 with |A| ne 0 such that |A+|A|adj(A)|=0 , where adj(A) is a adjoint of matrix A , then the value of |A-|A|adj(A)| is

Suppose A is a 4xx4 matrix such that |A| = 4 and |adjA| = Bk, then the value of k will be -