Home
Class 12
MATHS
If the orthogonal square matrics A and B...

If the orthogonal square matrics A and B of same size satisfy det A + det B= 0 then the value of det (A+B) is

A

-1

B

1

C

0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If A=[(x,x-1),(2x,1)] and if det A = -9, then the value of x are

Write two non-zero matrices A and B for which AB=0 .

If A,B and C are n xx n matrix and det (A) = 2, det (B)= 3, and det (C ) = 5, then find the value of the det (A^(2) BC^(-1)) .

Write two matrices A and B for which AB = 0 but BA ne 0

If M and N are square matrices of order 3 where det(M) =2 and det (N) = 3, then det(3MN) is

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 A=[(logx,-1),(-logx,2)] and if det (A) = 2, then the value of x is equal to

If A and B are square matrices of the same order such that A^(2)= A, B^(2) = B, AB = BA = O , then a) (A - B)^(2) = B - A b) (A- B)^(2) = A - B c) (A + B)^(2) = A + B d)None of these

If A and B are square matrices of the same order such that A B=B A ,then prove by induction that AB^n=B^n A . Further, prove that (AB)^n = A^n B^n for all n in N .

If a and b are the roots of the equation x^(2) + ax + b = 0, a ne 0, b ne = 0 , then the values of a and b are respectively