Which of the given values of x and y make the | vedclass

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

Question

(D) Given the matrix equation: $\left[\begin{array}{cc}3x+7 & 5 \ y+1 & 2-3x\end{array}ight]=\left[\begin{array}{cc}0 & y-2 \ 8 & 4\end{array}ig

Vedclass · Accepted Answer

Not possible to find

Vedclass · Answer

(D) Given the matrix equation: $\left[\begin{array}{cc}3x+7 & 5 \ y+1 & 2-3x\end{array}ight]=\left[\begin{array}{cc}0 & y-2 \ 8 & 4\end{array}ight]$By equating the corresponding elements,we obtain the following equations:$1$. $3x+7=0 \Rightarrow 3x=-7 \Rightarrow x=-\frac{7}{3}$$2$. $5=y-2 \Rightarrow y=7$$3$. $y+1=8 \Rightarrow y=7$$4$. $2-3x=4 \Rightarrow -3x=2 \Rightarrow x=-\frac{2}{3}$Comparing the results,we observe that the value of $x$ obtained from the first element is $-\frac{7}{3}$,while the value of $x$ obtained from the fourth element is $-\frac{2}{3}$.Since a single variable $x$ cannot take two different values simultaneously,it is not possible to find values of $x$ and $y$ that satisfy the equality of these two matrices.

Which of the given values of $x$ and $y$ make the following pair of matrices equal?
$\left[\begin{array}{cc}3x+7 & 5 \\ y+1 & 2-3x\end{array}\right]=\left[\begin{array}{cc}0 & y-2 \\ 8 & 4\end{array}\right]$

Similar Questions

If $3A + 4B' = \begin{bmatrix} 7 & -10 & 17 \\ 0 & 6 & 31 \end{bmatrix}$ and $2B - 3A' = \begin{bmatrix} -1 & 18 \\ 4 & 0 \\ 5 & -7 \end{bmatrix}$,then $B = $

Let $A = \begin{bmatrix} -3 & 2 \\ 1 & 4 \end{bmatrix}$. If $A^2 - 2A + I = \begin{bmatrix} 18 & p \\ q & 11 \end{bmatrix}$, find the values of $p$ and $q$.

For matrix $A = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}$, if $A^2 - 2I = KA$, then $K = \dots$

Let $A = \begin{bmatrix} 2 & 4 \\ 3 & 2 \end{bmatrix}$,$B = \begin{bmatrix} 1 & 3 \\ -2 & 5 \end{bmatrix}$,and $C = \begin{bmatrix} -2 & 5 \\ 3 & 4 \end{bmatrix}$. Find $3A - C$.

If $A = \begin{bmatrix} 1 & 2 & 3 \\ -2 & 3 & -1 \\ 3 & 1 & 2 \end{bmatrix}$ and $I$ is a unit matrix of $3^{rd}$ order,then $(A^2 + 9I)$ equals

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Which of the given values of $x$ and $y$ make the following pair of matrices equal?$\left[\begin{array}{cc}3x+7 & 5 \\ y+1 & 2-3x\end{array}\right]=\left[\begin{array}{cc}0 & y-2 \\ 8 & 4\end{array}\right]$