Compute the indicated products begin{bmatrix} | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) To find the product of the matrices $\begin{bmatrix} 1 \ 2 \ 3 \end{bmatrix}$ and $\begin{bmatrix} 2 & 3 & 4 \end{bmatrix}$,we multiply each ele

Vedclass · Accepted Answer

$\begin{bmatrix} 2 & 3 & 4 \ 4 & 6 & 8 \ 6 & 9 & 12 \end{bmatrix}$

Vedclass · Answer

(A) To find the product of the matrices $\begin{bmatrix} 1 \ 2 \ 3 \end{bmatrix}$ and $\begin{bmatrix} 2 & 3 & 4 \end{bmatrix}$,we multiply each element of the column matrix by the row matrix. The product is given by: $\begin{bmatrix} 1 \ 2 \ 3 \end{bmatrix} \begin{bmatrix} 2 & 3 & 4 \end{bmatrix} = \begin{bmatrix} 1(2) & 1(3) & 1(4) \ 2(2) & 2(3) & 2(4) \ 3(2) & 3(3) & 3(4) \end{bmatrix}$ Calculating each element: $= \begin{bmatrix} 2 & 3 & 4 \ 4 & 6 & 8 \ 6 & 9 & 12 \end{bmatrix}$

Compute the indicated products $\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix} \begin{bmatrix} 2 & 3 & 4 \end{bmatrix}$.

Similar Questions

If $A$ and $B$ are two matrices such that $AB$ is an identity matrix and the order of matrix $B$ is $3 \times 4$,then the order of matrix $A$ is

If $2\begin{bmatrix} 5 & x \\ 3 & 4 \end{bmatrix} + \begin{bmatrix} 0 & 1 \\ 1 & y \end{bmatrix} = \begin{bmatrix} 10 & 5 \\ 7 & 0 \end{bmatrix}$,then find the values of $x$ and $y$.

$\begin{bmatrix} 1 \\ -1 \\ 2 \end{bmatrix} \begin{bmatrix} 2 & 1 & -1 \end{bmatrix} = $

If $M$ is a $3 \times 3$ matrix such that $(0\,1\,2) M = (1\,0\,0)$ and $(3\,4\,5) M = (0\,1\,0)$, then $(6\,7\,8) M$ is equal to

If $f(\theta) = \begin{bmatrix} \cos \theta & -\sin \theta \\ \sin \theta & -\cos \theta \end{bmatrix}$,then $f\left(\frac{\pi}{6}\right) = $ . . . . . . .

Vedclass Test Series

Exam Paper Generator

Online Exam Module