Non-singular matrix
Symmetric matrix
Skew- Symmetric matrix
Idempotent matrix
Inverse of A dos not exist
Inverse of A exists and is unique
Inverse of A exists and is not unique
None of the above
Let A be a matrix of order n. Then
(A T ) -1 = (A-1)T provided A-1 exists
(A T ) -1 = AT
(A T ) -1 = A-1
None of the above
Which of the following statement is false?
Trace of AB=(Trace of A)X(Trace of B)
Trace of AB=trace of BA
Trace of A=Trace of A-1, if A is invertible
None of the above
If A and B are idempotent, then AB is idempotent
If AB=BA
always
Only when AB=I
None of the above
Which of the following statement is true?
If ? is an eigen value of a non-singular matrix A then 1/ 2? is an eigen value of A
The sum of eigen values of a matrix A equals the trace of A.
If A is invertible then trace of ACA-1 equals the trace of A-1.
For any constant k ,trace of kA=trace of A.