Download App

Algebra of Matrices — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsAlgebra of Matrices5 Marks
Question
Evaluate the following:
$\begin{pmatrix}\begin{bmatrix}1&3\\-1&-4 \end{bmatrix}+\begin{bmatrix}3&-2\\-1&1 \end{bmatrix}\end{pmatrix}\begin{bmatrix}1&3&5\\2&4&6 \end{bmatrix}$
✓

Answer

$\begin{pmatrix}\begin{bmatrix}1&3\\-1&-4 \end{bmatrix}+\begin{bmatrix}3&-2\\-1&1 \end{bmatrix}\end{pmatrix}\begin{bmatrix}1&3&5\\2&4&6 \end{bmatrix}$
$\Rightarrow\begin{pmatrix}\begin{bmatrix}1+3&3-2\\-1-1&-4+1\end{bmatrix}\end{pmatrix}\begin{bmatrix}1&3&5\\2&4&6 \end{bmatrix}$
$\Rightarrow\begin{bmatrix}4&1\\-2&-3\end{bmatrix}\begin{bmatrix}1&3&5\\2&4&6\end{bmatrix}$
$\Rightarrow\begin{bmatrix}4+2&12+4&20+6\\-2-6&-6-12&-10-18\end{bmatrix}$
$\Rightarrow\begin{bmatrix}6&16&26\\-8&-18&-28\end{bmatrix}$

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 "Solve the Following Question.(5 Marks)" from Algebra of Matrices→Algebra of Matrices — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Express the matrix $\text{A}=\begin{bmatrix}3 & -4 \\1 & -1 \end{bmatrix}$ as the sum of a symmetric and a skew-symmetric matrix.
→
Solve the following differential equation:
$\frac{\text{dy}}{\text{dx}} = \sec(\text{x}+\text{y})$
→
Solve the following equation for x:
$\tan^{-1}\Big(\frac{\text{x}-2}{\text{x}-4}\Big)+\tan^{-1}\Big(\frac{\text{x}+2}{\text{x}+4}\Big)=\frac{\pi}{4}$
→
Show that the line segments joining the mid-points of opposite sides of a quadrilateral bisects each other.
→
The height of a cone increases by k%, its semi-vertical angle remaining the same. What is the approximate percentage increase
  1. In total surface area, and
  2. In the volume, assuming that k is small?
→
Find the inverse of the following matrices by using elementry row transformation:$\begin{bmatrix} 2 & -1 & 4 \\ 4 & 0 & 7 \\ 3 & -2 & 7 \end{bmatrix}$
→
Solve the following differential equation:
$\frac{\text{dy}}{\text{dx}}+2\text{y}=\sin\text{x}$
→
Evaluate the following integrals:$\int^\limits1_{-1}|2\text{x}+1|\text{dx}$
→
Find the shortest distance between the following pairs of lines whose vector equation are:
$\vec{\text{r}}=3\hat{\text{i}}+8\hat{\text{j}}+3\hat{\text{k}}+\lambda\big(3\hat{\text{i}}-\hat{\text{j}}+\hat{\text{k}}\big)$ and $\vec{\text{r}}=-3\hat{\text{i}}-7\hat{\text{j}}+6\hat{\text{k}}+\mu\big(-3\hat{\text{i}}+2\hat{\text{j}}+4\hat{\text{k}}\big)$
→
Find the differential equation of the family of curve $\text{x}=\text{A}\cos\text{nt}+\text{B}\sin\text{nt},$ where A and B are arbitrary constants.
→