Home
Class 12
MATHS
Let A and B be 3xx3 matrtices of real nu...

Let `A and B` be `3xx3` matrtices of real numbers, where `A` is symmetric, `"B"` is skew-symmetric , and `(A+B)(A-B)=(A-B)(A+B)dot` If `(A B)^t=(-1)^k A B , where . (A B)^t` is the transpose of the mattix `A B ,` then find the possible values of `kdot`

A

20

B

24

C

28

D

45

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Match the statement/expressions in Column I with the statements/expressions in Column II. Column I Column II The minimum value of (x^2+2x+4)/(x+2) is (p) 0 Let Aa n dBb e3x3 matrices of real numbers, where A is symmetric, B is skew symmetric, and (A+B)(A-B)=(A-B)(A+B) if (A B)^t=(-1)^kA B , where (A B)^t is the transpose of the matrix A B , then the possible values of k are (q) 1 Let a=(log)_3(log)_3 2. An integer k satisfying 1<2^(-k+3^((-1)))<2, must be less than (r) 2 In sintheta=cosvarphi, then the possible values of 1/pi(theta+-varphi-pi/2) are (s) 3

If A and B are symmetric matrices of the same order, write whether A B-B A is symmetric or skew-symmetric or neither of the two.

If B is a symmetric matrix, write whether the matrix A B\ A^T is symmetric or skew-symmetric.

If A, B are square materices of same order and B is a skewsymmetric matrix, show that A^(T)BA is skew-symmetric.

If B is a skew-symmetric matrix, write whether the matrix A BA^T is symmetric or skew-symmetric.

If A, B are square matrices of same order and B is skew-symmetric matrix, then show that A'BA is skew -symmetric.

If B is a skew-symmetric matrix, write whether the matrix A B\ A^T is symmetric or skew-symmetric.

Let A and B be two square matrices of the same size such that AB^(T)+BA^(T)=O . If A is a skew-symmetric matrix then BA is

If A and B are symmetric of the same order, then (A) AB is a symmetric matrix (B) A-B is skew symmetric (C) AB-BA is symmetric matrix (D) AB+BA is a symmetric matrix

If A and B are symmetric matrices of the same order then (A) A-B is skew symmetric (B) A+B is symmetric (C) AB-BA is skew symmetric (D) AB+BA is symmetric