1.
If the order of matrix A is m×p . And the order of B is p×n . Then the order of matrix AB is?
2.
If A and B are matrices, then which from the following is true?
3.
What is the determinant of matrix A?
4.
If A and B are two matrices such that A + B and AB are both defined, then
5.
If A = \[\begin{bmatrix}\lambda & 1 \\ -1 & -\lambda\end{bmatrix}\] then for what value of λ, \[A^{2}\] = 0?
6.
If A is a square matrix, then which of the following is not symmetric?
7.
If A = \[\begin{bmatrix}a & x \\ y & a\end{bmatrix}\]and if xy = 1, then det ( \[AA^{T}\] ) is equal to
8.
If A and B are symmetric matrices of order n, where (A ≠ B), then
9.
If a ≠ b, b, c satisfy \[\begin{vmatrix}a & 2b & 2c\\ 3 & b & c\\ 4 & a & b\end{vmatrix}\] = 0, then abc =
10.
If the square of the matrix \[\begin{bmatrix}\alpha & \beta\\ \gamma & -\alpha\end{bmatrix}\] is the unit matrix of order 2, then α, β and γ should satisfy the relation.
