Transpose of a Matrix
Trending Questions
Q. If A', B' are transpose matrices of the square matrices A, B respectively , then (AB)' is equal to
- A'B'
- B'A'
- AB'
- BA'
Q. The total number of 3×3 matrices A having entries from the set {0, 1, 2, 3} such that the sum of all the diagonal entries of AAT is 9, is equal to
Q. A=[aij]n×n and aij=i2−j2 then A is necessarily
- symmetric matrix
- skew symmetric matrix
- zero matrix
- a unit matrix
Q. Which among the following would be obtained on simplifying the expression (ATBA)T.
- ATBTAT
- ATBTA
- AATBT
- BTATA
Q. If A=⎡⎢⎣123⎤⎥⎦ then AA' =
- None of these
- ⎡⎢⎣133⎤⎥⎦
- 14
- ⎡⎢⎣123246369⎤⎥⎦
Q.
If A and B are two square matrices which are skew symmetric then(AB)T equals to
- AB
- BA
- -AB
- -BA
Q.
If A and B are two square matrices which are skew symmetric then (AB)T equals to
- AB
- BA
- -AB
- -BA
Q. If A is a 3×3 non-singular matrix such that AAT=ATAandB=A−1AT, then BBT is equal to
- I
- B−1
- I + B
- (B−1)T
Q.
(AB)T=ATBT. The statement is
True
False
Q. ___
If A=[10234264] then fourth element of second column of AT =