What must be the matrix X if 2X + begin{bmatr | vedclass

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

Question

(A) Given the equation: $2X + \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} = \begin{bmatrix} 3 & 8 \ 7 & 2 \end{bmatrix}$Subtract the matrix $\begin{

Vedclass · Accepted Answer

$\begin{bmatrix} 1 & 3 \ 2 & -1 \end{bmatrix}$

Vedclass · Answer

(A) Given the equation: $2X + \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} = \begin{bmatrix} 3 & 8 \ 7 & 2 \end{bmatrix}$Subtract the matrix $\begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$ from both sides:$2X = \begin{bmatrix} 3 & 8 \ 7 & 2 \end{bmatrix} - \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$$2X = \begin{bmatrix} 3-1 & 8-2 \ 7-3 & 2-4 \end{bmatrix}$$2X = \begin{bmatrix} 2 & 6 \ 4 & -2 \end{bmatrix}$Divide the entire matrix by $2$:$X = \frac{1}{2} \begin{bmatrix} 2 & 6 \ 4 & -2 \end{bmatrix} = \begin{bmatrix} 1 & 3 \ 2 & -1 \end{bmatrix}$

What must be the matrix $X$ if $2X + \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} = \begin{bmatrix} 3 & 8 \\ 7 & 2 \end{bmatrix}$?

Similar Questions

Let $A$ and $B$ be two square matrices of order $3$ and $AB = O_{3}$, where $O_{3}$ denotes the null matrix of order $3$. Then,

If $A = \begin{bmatrix} 3 & -2 \\ 4 & -2 \end{bmatrix}$ and $I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$,find $k$ such that $A^{2} = kA - 2I$.

If $A = \begin{bmatrix} 3 & 1 \\ -1 & 2 \end{bmatrix}$ and $A^2 - 5A = kI$,then $k =$ . . . . . .

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

Let $A = \begin{bmatrix} 0 & 1 \\ 1 & k \end{bmatrix}$, $k \in R$ and $A^3 = \begin{bmatrix} a & b \\ c & d \end{bmatrix}$. If $d = 228$, then $b + c =$

Vedclass Test Series

Exam Paper Generator

Online Exam Module