Find $X$ and $Y$,if $X+Y=\left[\begin{array}{ll}7 & 0 \\ 2 & 5\end{array}\right]$ and $X-Y=\left[\begin{array}{ll}3 & 0 \\ 0 & 3\end{array}\right]$.
- A$X = \left[\begin{array}{ll}5 & 0 \\ 1 & 4\end{array}\right]$,$Y=\left[\begin{array}{ll}2 & 0 \\ 1 & 1\end{array}\right]$
- B$X = \left[\begin{array}{ll}5 & 0 \\ 1 & 4\end{array}\right]$,$Y=\left[\begin{array}{ll}2 & 0 \\ 1 & 2\end{array}\right]$
- C$X = \left[\begin{array}{ll}5 & 0 \\ 2 & 4\end{array}\right]$,$Y=\left[\begin{array}{ll}2 & 0 \\ 1 & 1\end{array}\right]$
- D$X = \left[\begin{array}{ll}4 & 0 \\ 1 & 4\end{array}\right]$,$Y=\left[\begin{array}{ll}3 & 0 \\ 1 & 1\end{array}\right]$
Explore More
Similar Questions
Consider the matrices $A = \begin{bmatrix} 4 & 6 & -1 \\ 3 & 0 & 2 \\ 1 & -2 & 5 \end{bmatrix}$,$B = \begin{bmatrix} 2 & 4 \\ 0 & 1 \\ -1 & 2 \end{bmatrix}$,and $C = \begin{bmatrix} 3 \\ 1 \\ 2 \end{bmatrix}$. Which of the following matrix products are defined?
$(i) (AB)^T C$
$(ii) C^T C (AB)^T$
$(iii) C^T AB$
$(iv) A^T AB B^T C$
$(i) (AB)^T C$
$(ii) C^T C (AB)^T$
$(iii) C^T AB$
$(iv) A^T AB B^T C$
If $A = \begin{bmatrix} \alpha & 0 \\ 1 & 1 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & 0 \\ 5 & 1 \end{bmatrix}$,then the value of $\alpha$ for which $A^2 = B$ is:
If $A = \begin{bmatrix} \cos \frac{2 \pi}{33} & \sin \frac{2 \pi}{33} \\ -\sin \frac{2 \pi}{33} & \cos \frac{2 \pi}{33} \end{bmatrix}$,then $A^{2017} = $
If $A^2 = A$ is a square matrix such that $(I - A)^n = I - A$ for $n \geq 1$,then what is the value of $(I + A)^2 - 3A$?
If $A$ is a $2 \times 2$ matrix and $a_{ij} = \frac{i + 2j^2}{3}$,then find the matrix $A = [a_{ij}]_{2 \times 2}$.
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo