If [ cc 4 & -2 4 & 0 ]+3 A= [ cc -2 & -2 1 & -3 ] Find A - Vidyadip

Question

If $\left[\begin{array}{cc}4 & -2 \\ 4 & 0\end{array}\right]+3 A=\left[\begin{array}{cc}-2 & -2 \\ 1 & -3\end{array}\right]$ Find $A$

✓

Answer

$\begin{array}{l}{\left[\begin{array}{cc}4 & -2 \\ 4 & 0\end{array}\right]+3 A=\left[\begin{array}{cc}-2 & -2 \\ 1 & -3\end{array}\right]} \end{array} $
$ 3 A=\left[\begin{array}{cc}-2 & -2 \\ 1 & -3\end{array}\right]-\left[\begin{array}{cc}4 & -2 \\ 4 & 0\end{array}\right] $
$ 3 A=\left[\begin{array}{cc}-2-4-2+2 \\ 1-4 & -3-0\end{array}\right] $
$ 3 A=\left[\begin{array}{cc}-6 & 0 \\ -3-3\end{array}\right] $
$ A=\frac{1}{3}\left[\begin{array}{cc}-6 & 0 \\ -3 & -3\end{array}\right]=\left[\begin{array}{cc}-2 & 0 \\ -1-1\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

If $A =\left|\begin{array}{ll}15 & 7 \\ 13 & 8\end{array}\right|$ and $B =\left|\begin{array}{ll}16 & 12 \\ 27 & 11\end{array}\right|$, find matrix $X$ such that $A + X$

The image of triangle $O X Y$ under reflection in the origin, $O$ is the triangle $O X_1 Y_1$, where $X_1(-3,-4)$ is the image of $X$ and $Y_1$, $(0,-5)$ is the image of $Y$.
(i) Draw a diagram to represent this information and write down the co-ordinates of $X$ and $Y$.
(ii) What kind of figure is the quadrilateral $X Y X_1 Y_1$ ? Give reason for your answer. State, with a reason, whether the figure
$X Y X_1 Y_1$ has any lines of symmetry.
(iii) Find the co-ordinates of $X _2$, the image of X under reflection in the origin followed by reflection on the Y -axis.
(iv) Find the co-ordinates of $Y _2$, the image of Y under reflection on the X -axis followed by reflection in the origin.

A man sold some Rs. 100 shares paying 10% dividend at a discount of 25% and invested the proceeds in Rs. 100 shares paying 16% dividend quoted at Rs. 80 and thus increased his income by Rs. 2000. Find the number of shares sold by him.

What sum of money will amount to $Rs.8,073$ in $2$ years at compound interest if the rates of interest for the successive years are $15\%$ and $17\%?$

Solve $x^{2/3}+ x^{1/3} - 2 = 0.$

Solve each of the following equations for $x$ and give, in each case, your answer correct to two decimal places :
$4 x+\frac{6}{x}+13=0$

Find $x$ and $y$ if $[3 \ x \ 8]\left[\begin{array}{ll}1 & 4 \\ 3 & 7\end{array}\right]-3\left[\begin{array}{ll}2 & -7\end{array}\right]=5\left[\begin{array}{ll}3 & 2 y\end{array}\right]$

In ABCD is a cyclic quadrilateral; O is the centre of the circle. If BOD = 160°, find the measure of BPD.

Prove the following identitie:
$cosec^4A (1 - \cos^4A) - 2 \cot^2A = 1$

A perfect cubic die is thrown .Find the probability that
(ii) a perfect square comes up.