Download App

Matrices — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSMatrices2 Marks
Question
Compute the indicated products. $\left[\begin{array}{cc} {2} & {1} \\ {3} & {2} \\ {-1} & {1} \end{array}\right]\left[\begin{array}{ccc} {1} & {0} & {1} \\ {-1} & {2} & {1} \end{array}\right]$
✓

Answer

We have, $\left[\begin{array}{cc} {2} & {1} \\ {3} & {2} \\ {-1} & {1} \end{array}\right]\left[\begin{array}{ccc} {1} & {0} & {1} \\ {-1} & {2} & {1} \end{array}\right]$ 
= $\left[\begin{array}{ccc} {2(1)+1(-1)} & {2(0)+1(2)} & {2(1)+1(1)} \\ {3(1)+2(-1)} & {3(0)+2(2)} & {3(1)+2(1)} \\ {-1(1)+1(-1)} & {-1(0)+1(2)} & {-1(1)+1(1)} \end{array}\right]$ 
= $\left[\begin{array}{ccc} {2-1} & {0+2} & {2+1} \\ {3-2} & {0+4} & {3+2} \\ {-1-1} & {0+2} & {-1+1} \end{array}\right]$ 
= $\left[\begin{array}{ccc} {1} & {2} & {3} \\ {1} & {4} & {5} \\ {-2} & {2} & {0} \end{array}\right]$ 

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

If $A = [a_{ij}]$ is a $2\times 2$ matrix such that $a_{ij} = i + 2j,$ write $A.$
→
Evaluate the following integrals:
$\int\Big(\frac{\text{m}}{\text{x}}+\frac{\text{x}}{\text{m}}+\text{m}^\text{x}+\text{x}^\text{m}+\text{mx}\Big)\text{dx}$
→
Construct a $2 \times 3$ matrix $A = [a_{ij}]$ whose elements $a_{ij}$ are give by$: a_{ij} = i.j$
→
Define identity element for a binary operation defined on a set.
→
For any square matrix write whether $AA^T$ is symmetric or skew-symmetric.
→
If $\cot\Big(\cos^{-1}\frac{3}{5}+\sin^{-1}\text{x}\Big)=0,$ find the values of x.
→
Find $\vec{\text{a}}.\vec{\text{b}}$ when
$\vec{\text{a}}=\hat{\text{j}}-\hat{\text{k}}$ and $\vec{\text{b}}=2\hat{\text{i}}+3\hat{\text{j}}-2\hat{\text{k}}$
→
Find the value of x, if $\begin{bmatrix}3\text{x+y}&-\text{y}\\2\text{y}-\text{x}&3 \end{bmatrix}=\begin{bmatrix}1&2\\-5&3 \end{bmatrix}$
→
If $A=\left[\begin{array}{ll}2 & 5 \\ 3 & 8\end{array}\right]$ then find $A ^{-1}$.
→
Show the feasible region of the constraints $\frac{x}{3}+\frac{y}{4} \geq 1, x \geq 0, y \geq 0$.
→