If `A=[[t,t+1],[t-1,t]]` is a matrix such that `A``A^(T)``=``I_(2)` Then the trace of the matrix must be

If A is a square matrix such that A A^T=I=A^TA , then A is

If A is a square matrix such that |A|=2 , write the value of |AA^T|

If A is a square matrix such that |A| = 2 , write the value of | AA^T|

If A is a nonsingular matrix such that A A^(T)=A^(T)A and B=A^(-1) A^(T) , then matrix B is

If a non-singular matrix and A^(T) denotes the tranpose of A, then

If A=[[4,1],[5,8]] , show that A+A^T is symmetric matrix, where A^T denotes the transpose of matrix A

If A is 2xx3 matrix and B is a matrix such that A^T\ B and B A^T both are defined, then what is the order of B ?

If A is a non-singular matrix such that A A^T=A^T A and B=A^(-1)A^T , the matrix B is a. involuntary b. orthogonal c. idempotent d. none of these

If A=[[2,4],[5,6]] , show that (A-A^T) is a skew symmetric matrix, where A^T is the transpose of matrix A.

If A=[[3,4],[5,1]] , show that A-A^T is a skew symmetric matrix, where A^T denotes the transpose of matrix A