If A = [2] and B = begin{bmatrix} 3 4 end{bm | vedclass

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

Question

(D) Given $A = [2]$ and $B = \begin{bmatrix} 3 \ 4 \end{bmatrix}$.First,calculate the product $BA$:$BA = \begin{bmatrix} 3 \ 4 \end{bmatrix} [2] = \

Vedclass · Accepted Answer

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

Vedclass · Answer

(D) Given $A = [2]$ and $B = \begin{bmatrix} 3 \ 4 \end{bmatrix}$.First,calculate the product $BA$:$BA = \begin{bmatrix} 3 \ 4 \end{bmatrix} [2] = \begin{bmatrix} 3 	imes 2 \ 4 	imes 2 \end{bmatrix} = \begin{bmatrix} 6 \ 8 \end{bmatrix}$.Now,find the transpose $(BA)'$:$(BA)' = \begin{bmatrix} 6 & 8 \end{bmatrix}$.Note: Based on the provided options,there seems to be a typo in the original question's matrix $A$. If $A = [2]$,the result is $[6 \quad 8]$. If the question intended $B = \begin{bmatrix} 3 \ 4 \end{bmatrix}$ and $A = [1 \quad 2]$,then $BA = \begin{bmatrix} 3 \ 4 \end{bmatrix} [1 \quad 2] = \begin{bmatrix} 3 & 6 \ 4 & 8 \end{bmatrix}$.Then $(BA)' = \begin{bmatrix} 3 & 4 \ 6 & 8 \end{bmatrix}$,which matches option $D$.

If $A = [2]$ and $B = \begin{bmatrix} 3 \\ 4 \end{bmatrix}$,then $(BA)' = $ . . . . . . .

Similar Questions

If for $A = \begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}$,$A^2 = I$,then . . . . . . .

If $A$ is a $3 \times 4$ matrix and $B$ is a matrix such that $A^{\prime}B$ and $BA^{\prime}$ are both defined,then $B$ is of the type:

Find the value of $x, y$ and $z$ from the following equation : $\begin{bmatrix} 4 & 3 \\ x & 5 \end{bmatrix} = \begin{bmatrix} y & z \\ 1 & 5 \end{bmatrix}$

Let $I$ denote the $3 \times 3$ identity matrix and $P$ be a matrix obtained by rearranging the columns of $I$. Then,

Let $A = \begin{bmatrix} 2 & -2 \\ 1 & -1 \end{bmatrix}$ and $B = \begin{bmatrix} -1 & 2 \\ -1 & 2 \end{bmatrix}$. Then the number of elements in the set $\{(n, m) : n, m \in \{1, 2, \ldots, 10\} \text{ and } nA^n + mB^m = I\}$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module