Matrices and Determinants Quiz

Welcome to your Matrices and Determinants Quiz

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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.

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