Find $AB,$ if $A = \begin{bmatrix} 0 & -1 \\ 0 & 2 \end{bmatrix}$ and $B = \begin{bmatrix} 3 & 5 \\ 0 & 0 \end{bmatrix}$.

  • A
    $\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$
  • B
    $\begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}$
  • C
    $\begin{bmatrix} 0 & 0 \\ 0 & 1 \end{bmatrix}$
  • D
    $\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$

Explore More

Similar Questions

If $A$ and $B$ are symmetric matrices of the same order,then $AB - BA$ is a

If $A = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}$,then $(aI + bA)^n$ is (where $I$ is the identity matrix of order $2$)

If $A$ is a square matrix such that $A^2 = A$,then $(I + A)^2 - 3A =$ . . . . . . .

If $A$ and $B$ are square matrices of size $n \times n$ such that $A^2 - B^2 = (A - B)(A + B)$,then which of the following will be always true?

Find the values of $x, y, z$ if the matrix $A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix}$ satisfies the equation $A^{\prime} A = I$.

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo