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

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

If a square matrix A is such that "AA"^(T)=l=A^(T)A , then |A| is equal to

For any matrix a show that A+A^(T) is symmetric matrix

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

If P is a 3xx3 matrix such that P^(T)=2P+I where P^(T) is the transpose of P and I is the 3xx3 identity matrix,then there exists a column matrix,X=[[xyz]]!=[[000]] such that

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

If A is a square matrix, then A+A^(T) is