Download App

Matrices — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSMatrices2 Marks
Question
Find $x$ and $y$ if $x+y=\left[\begin{array}{ll}5 & 2 \\ 0 & 9\end{array}\right]$ and $x-y=\left[\begin{array}{cc}3 & 6 \\ 0 & -1\end{array}\right]$
✓

Answer

x + y + x - y $ = \left[ {\begin{array}{*{20}{c}} 5&2 \\ 0&9 \end{array}} \right] + \left[ {\begin{array}{*{20}{c}} 3&6 \\ 0&{ - 1} \end{array}} \right]$
$2x = \left[ {\begin{array}{*{20}{c}} 8&8 \\ 0&8 \end{array}} \right]$
$x = \left[ {\begin{array}{*{20}{c}} 4&4 \\ 0&4 \end{array}} \right]$
And, (x + y) - (x - y) $ = \left[ {\begin{array}{*{20}{c}} 5&2 \\ 0&9 \end{array}} \right] - \left[ {\begin{array}{*{20}{c}} 3&6 \\ 0&{ - 1} \end{array}} \right]$
x + y - x + y $ = \left[ {\begin{array}{*{20}{c}} 2&{ - 4} \\ 0&{10} \end{array}} \right]$
$y = \left[ {\begin{array}{*{20}{c}} 1&{ - 2} \\ 0&5 \end{array}} \right]$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Matrices→Matrices — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Show that the vector $\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}$ is equally inclined with the axes OX, OY and OZ. 
→
Three numbers are chosen from $1$ to $20.$ Find the probability that they are consecutive.
→
Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
${3}\sqrt{\frac{\text{d}^2\text{y}}{\text{dx}^2}}=\sqrt{\frac{\text{dy}}{\text{dx}}}$
→
Integrate the rational function $\frac{\cos x}{(1-\sin x)(2-\sin x)}$ [Hint: Put sin x = t]
→
In a parliament election, a political party hired a public relations firm to promote its candidates in three ways - telephone, house calls and letters. The cost per contact (in paisa) is given in matrix A as
$\text{A}=\begin{bmatrix}140&\text{Telephone}\\200&\text{House calls}\\150&\text{Letters}\end{bmatrix}$
The number of contacts of each type made in two cities X and Yis given in the matrix B as
$\begin{matrix}\text{Telephone}&\text{House calls}&\text{Letters}\end{matrix}\\\text{B}=\begin{bmatrix}1000&500&5000\\3000&1000&10000\end{bmatrix}\begin{matrix}\text{City X}\\\text{City Y}\end{matrix}$
Find the total amount spent by the party in the two cities.
What should one consider before casting his/ her vote - party's promotional activity of their social activities?
→
If $\text{A}=\begin{bmatrix}2&3\\5&7\end{bmatrix},\text{ B}=\begin{bmatrix}-1&0&2\\3&4&1\end{bmatrix},\text{C}=\begin{bmatrix}-1&2&3\\2&1&0\end{bmatrix},$ find
A + B and B + C
→
By using the properties of definite integral, evaluate the integral in Exercise:
$\int^{1}_{0}\text{x}(1-\text{x})^{\text{n}}\ \text{dx}$
→
Evaluate : $- \tan ^{-1}\left(-\frac{1}{\sqrt{3}}\right)+\cot ^{-1}\left(\frac{1}{\sqrt{3}}\right)+\tan ^{-1}\left(\sin \left(-\frac{\pi}{2}\right)\right)$
→
Evaluate the following:
$\sin\Big(\tan^{-1}\frac{24}{7}\Big)$
→
Show that:
$\begin{bmatrix}5&-1\\6&7\end{bmatrix}\begin{bmatrix}2&1\\3&4\end{bmatrix}\neq\begin{bmatrix}2&1\\3&4\end{bmatrix}\begin{bmatrix}5&-1\\6&7\end{bmatrix}$
→