Download App

Algebra of Matrices — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSAlgebra of Matrices2 Marks
Question
If $\begin{bmatrix}1&2\\3&4 \end{bmatrix}\begin{bmatrix}3&1\\2&5 \end{bmatrix}=\begin{bmatrix}7&11\\\text{k}&23 \end{bmatrix},$ then write the value of k.
✓

Answer

Given: $\begin{bmatrix}1&2\\3&4 \end{bmatrix}\begin{bmatrix}3&1\\2&5 \end{bmatrix}=\begin{bmatrix}7&11\\\text{k}&23 \end{bmatrix}$
$\Rightarrow\begin{bmatrix}3+4&1+10\\9+8&3+20 \end{bmatrix}=\begin{bmatrix}7&11\\\text{k}&23 \end{bmatrix}$
$\Rightarrow\begin{bmatrix}7&11\\17&23 \end{bmatrix}=\begin{bmatrix}7&11\\\text{k}&23 \end{bmatrix}$
The corresponding elements of two equal matrices are equal.
$\therefore$ k = 17

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 Algebra of Matrices→Algebra of Matrices — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Find the number of all onto functions from the set A = {1, 2, 3, ..., n} to itself.
→
Show that the function f defined by f(x) = |1 – x + | x | |, where x is any real number, is a continuous function.
→
If $\vec{\text{a}}=\hat{\text{i}}+\hat{\text{j}},\ \vec{\text{b}}=\hat{\text{j}}+\hat{\text{k}}$ and $\vec{\text{c}}=\hat{\text{k}}+\hat{\text{i}}$, write unit vectors parallel to $\vec{\text{a}}+\vec{\text{b}}-2\vec{\text{c}}$.
→
For the principal values, evaluate the following:
$\tan^{-1}(-1)+\cos^{-1}\Big(-\frac{1}{2}\Big)$
→
Verify that the function xy = log y + C (explicit or implicit) is a solution of differential equation $y' = \frac{{{y^2}}}{{1 - xy}}\left( {xy \ne 1} \right)$
→
If $\left[\begin{array}{ccc}{x+3} & {z+4} & {2 y-7} \\ {-6} & {a-1} & {0} \\ {b-3} & {-21} & {0}\end{array}\right]$ = $\left[\begin{array}{ccc}{0} & {6} & {3 y-2} \\ {-6} & {-3} & {2 c+2} \\ {2 b+4} & {-21} & {0}\end{array}\right]$, Find the values of a, b, c, x, y and z.
→
If $f : C \rightarrow C$ is defined by $f(x) = x^2,$ write $f^{-1}(-4).$ Here, $C$ denotes the set of all complex numbers.
→
Show that the following systems of linear equations is inconsistent:
3x + y = 5,
-6x - 2y = 9
→
Determine whether the relation is reflexive, symmetric and transitive:
Relation R in the set A of human beings in a town at a particular time given by
R = {(x, y) : x is exactly 7 cm taller than y}
→
A particle moves along the curve $6 y=x^3+2$. Find the points on the curve at which $y-$ coordinates is changing $2$ times as fast as $x -$ coordinates.
→