Download App

Algebra of Matrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsAlgebra of Matrices2 Marks
Question
Let $\text{A}=\begin{bmatrix}2&4\\3&2\end{bmatrix},\text{B}=\begin{bmatrix}1&3\\-2&5\end{bmatrix}$ and $\text{C}=\begin{bmatrix}-2&5\\3&4\end{bmatrix}.$ Find each of the following:
$\text{B}-4\text{C}$
✓

Answer

Given, $\text{A}=\begin{bmatrix}2&4\\3&2\end{bmatrix},\text{ B}=\begin{bmatrix}1&3\\-2&5\end{bmatrix},\text{ C}=\begin{bmatrix}-2&5\\3&4\end{bmatrix}$
$\text{B}-4\text{C}$
$\Rightarrow\text{B}-4\text{C}=\begin{bmatrix}1&3\\-2&5\end{bmatrix}-4\begin{bmatrix}-2&5\\3&4 \end{bmatrix}$
$\Rightarrow\text{B}-4\text{C}=\begin{bmatrix}1&3\\-2&5\end{bmatrix}-\begin{bmatrix}-8&20\\12&16 \end{bmatrix}$
$\Rightarrow\text{B}-4\text{C}=\begin{bmatrix}1+8&3-20\\-2-12&5-16\end{bmatrix}$
$\Rightarrow\text{B}-4\text{C}=\begin{bmatrix}9&-17\\-14&-11\end{bmatrix}$

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 "2 Marks" from Algebra of Matrices→Algebra of Matrices — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. Find the probability that out of 5 such bulbs.
at least one will fuse after 150 days of use.
→
Find the direction cosines of a line parallel to the given line:
$
\frac{4-x}{2}=\frac{y+3}{3}=\frac{z+2}{6}
$
→
What is the total number of 2×2 matrices with each entry 0 or 1?
→
Find  fog (2) and gof (1) when : f : R → R; f(x) = x2 + 8 and g : R → R; g(x) = 3x3 + 1.
→
Find $\frac{\text{dy}}{\text{dx}},$ when
x = at2 and y = 2at
→
If $|\vec{\text{a}}|=2,\big|\vec{\text{b}}\big|=3$ and $\vec{\text{a}}.\vec{\text{b}}=3,$ find the projection of $\vec{\text{b}}$ on $\vec{\text{a}}.$
→
$\int\sin^2\frac{\text{x}}{2}\text{dx}$
→
Differentiate the $\frac{{\cos x}}{{\log x}},x > 0$ w.r.t. x.
→
Write a vector satisfying $\vec{\text{a}}.\hat{\text{i}}=\vec{\text{a}}.\big(\hat{\text{i}}+\hat{\text{j}}\big)=\vec{\text{a}}.\big(\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}\big)=1.$
→
Find the vector equation one of following plane.
x + y - z = 5
→