Download App

Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices3 Marks
Question
Given $A=\left[\begin{array}{cc}2 & -1 \\ 2 & 0\end{array}\right] B=\left[\begin{array}{cc}-3 & 2 \\ 4 & 0\end{array}\right]$ and $C=\left[\begin{array}{ll}1 & 0 \\ 0 & 2\end{array}\right]$ Find the matrix $X$ such that $A+X=2 B=C$
✓

Answer

Given $A + X = 2B + C$
$\left[\begin{array}{cc}2 & -1 \\ 2 & 0\end{array}\right]+X=2\left[\begin{array}{cc}-3 & 2 \\ 4 & 0\end{array}\right]+\left[\begin{array}{ll}1 & 0 \\ 0 & 2\end{array}\right]$
$\left[\begin{array}{cc}2 & -1 \\ 2 & 0\end{array}\right]+X=\left[\begin{array}{cc}-6 & 4 \\ 8 & 0\end{array}\right]+\left[\begin{array}{ll}1 & 0 \\ 0 & 2\end{array}\right]$
$\begin{array}{l}{\left[\begin{array}{cc}2 & -1 \\ 2 & 0\end{array}\right]+X=\left[\begin{array}{cc}-5 & 4 \\ 8 & 2\end{array}\right]} \end{array} $
$ X=\left[\begin{array}{cc}-5 & 4 \\ 8 & 2\end{array}\right]-\left[\begin{array}{cc}2 & -1 \\ 2 & 0\end{array}\right]  $
$ X=\left[\begin{array}{cc}-7 & 5 \\ 6 & 2\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 "[3 marks sum]" from Matrices→Matrices — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

Prove the following identitie:
$\sqrt{\frac{1+\sin A}{1-\sin A}}=\frac{\cos A}{1-\sin A}$
→
Prove.$\frac{1}{\sec A+\tan A}=\sec A-\tan A$
→
The age of 40 students are given in the following table :
Age (in yrs)12 131415161718
Frequency2 469874
Find the Arithmetic mean.
→
Triangles $A B C$ and $D E F$ are similar.
If area $(\triangle A B C)=36 cm^2$, area $(\triangle D E f)=64 cm^2$ and $D E=6.2 cm$, find $A B$.
→
if $M =\left[\begin{array}{cc}4 & 1 \\ -1 & 2\end{array}\right]$ show that $6 m-m^2=9 I$ where $I$ is $2 \times 2$ unit matrix.
→
Solve the following equation $: 25x (x + 1) = -4$
→
Solve the following equations for x and give, in given case, your answer correct to one decimal place :
$5x^2 +10x – 3 =0$
→
Prove that $(\sin \theta + cosec \theta )^2 + (\cos \theta + sec \theta )^2 = 7 + \tan^2\theta + \cot^2\theta .$
→
Solve the given inequation and graph the solution set on the number line :
$2 y-3 < y+1 \leq 4 y+7, y \in R$
→
Point $A (1 , -5)$ is mapped as A' on rflection in the line $y = 1.$ The point $B (-5 , 1)$ is mapped as B' on reflection in the line $y = 4.$ Write the co-ordinaes of A' and B' . Calculate AB'.
→