Download App

Algebra of Matrices — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSAlgebra of Matrices2 Marks
Question
For a $2\times 2$ matrix $A = [a_{ij}]$ whose elements are given by $\text{a}_{\text{ij}}=\frac{\text{i}}{\text{j}}$, write the value of $a_{12}.$
✓

Answer

Given that a $2\times 2$ matrix $A = [a_{ij}]$
whose elements are given by $\text{a}_{\text{ij}}=\frac{\text{i}}{\text{j}}.$
We need to find the value of $a_{12}.$
Thus, $\text{a}_{12}=\frac{1}{2}.$

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: $\int\frac{\tan^2\text{x}\sec^2\text{x}}{1-\tan^6\text{x}}\text{dx}.$
→
Write the value of $k$ for which the line $\frac{\text{x}-1}{2}=\frac{\text{y}-1}{3}=\frac{\text{z}-1}{\text{k}}$ is perpendicular to the normal to the plane $\vec{\text{r}}.(2\hat{\text{i}}+3\hat{\text{j}}+4\hat{\text{k}})=4.$
→
Write the value of $\sin^{-1}(\sin1550^\circ).$
→
For each of the differential equations given in find the general solution:
$\frac{\text{dy}}{\text{dx}}+\frac{\text{y}}{\text{x}}=\text{x}^2$
→
If A = {1, 2, 3, 4} define relations on A which have properties of being:
Symmetric but neither reflexive nor transitive.
→
Write the value of $\tan^{-1}\Big\{\tan\Big(\frac{15\pi}{4}\Big)\Big\}.$
→
What is the principal value of $\sin^{-1}\Big(-\frac{1}{2}\Big)?$
→
Evaluate:
$\cot\Big\{\sec^{-1}\Big(-\frac{13}{5}\Big)\Big\}$
→
Evaluate the following integrals:$\int\frac{\text{e}^\text{x}}{\sqrt{16-\text{e}^{2\text{x}}}}\text{ dx}$
→
Compute the indicated product
$\left[\begin{array}{cc} {a} & {b} \\ {-b} & {a} \end{array}\right]\left[\begin{array}{cc} {a} & {-b} \\ {b} & {a} \end{array}\right]$
→