If 9&-1&4 -2&1&3 =A+ 1&2&-1 0&4&9 , then find matrix A. - Vidyadip

Question

If $\begin{bmatrix}9&-1&4\\-2&1&3 \end{bmatrix}=\text{A}+\begin{bmatrix}1&2&-1\\0&4&9 \end{bmatrix},$ then find matrix A.

✓

Answer

$\begin{bmatrix}9&-1&4\\-2&1&3 \end{bmatrix}=\text{A}+\begin{bmatrix}1&2&-1\\0&4&9 \end{bmatrix}$
$\Rightarrow\text{A}=\begin{bmatrix}9&-1&4\\-2&1&3 \end{bmatrix}-\begin{bmatrix}1&2&-1\\0&4&9 \end{bmatrix}$
$=\begin{bmatrix}9-1&-1-2&4+1\\-2-0&1-4&3-9 \end{bmatrix}$
$=\begin{bmatrix}8&-3&5\\-2&-3&-6 \end{bmatrix}$
Hence, the matrix $\text{A}=\begin{bmatrix}8&-3&5\\-2&-3&-6 \end{bmatrix}$

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.(2 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

Find the vector equation of line passing through the point having position vector

$5 \hat{i}+4 \hat{j}+3 \hat{k}$ and having direction ratios $-3,4,2$.

Find the values of $\lambda$ for which the angle between the vectors $\vec{a}=2 \lambda^2 \hat{i}+4 \lambda \hat{j}+\hat{k}$ and $\vec{b}=7 \hat{i}-2 \hat{j}+\lambda \hat{k}$

Diffrentiate the following w.r.t.x

$\sqrt{\tan \sqrt{x}}$

If $\text{A}=\begin{bmatrix}\cos\text{x}&-\sin\text{x}\\\sin\text{x}&\cos\text{x}\end{bmatrix},$ find $AA^T$.

Evaluate the following integrals:
$\int\bigg\{\text{x}^2+\text{e}^{\log\text{x}}+\Big(\frac{\text{e}}{2}\Big)^\text{x}\bigg\}\text{dx}$

Write the following compound statements symbolically.

Triangle is equilateral or isosceles

Is it true that every relation which is symmetric and transitive is also reflexive? Give reasons.

For any two vectore $\vec{\text{a}}$ and $\vec{\text{b}}$, show that $\big(\vec{\text{a}}+\vec{\text{b}}\big).\big(\vec{\text{a}}-\vec{\text{b}}\big)=0\Leftrightarrow|\vec{\text{a}}|=\big|\vec{\text{b}}\big|.$

Show that $f(x) = x^3 - 15x^2 + 75x - 50$ is an increasing function for all $\text{x}\in\text{R}.$

If a particle moves in a straight line such that the distance travelled in time t is given by $s = t^3 - 6t^2 + 9t + 8$. Find the initial velocity of the particle.