Download App

Matrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMatrices2 Marks
Question
Find $x$ and $y$ if $x+y=\left[\begin{array}{ll}5 & 2 \\ 0 & 9\end{array}\right]$ and $x-y=\left[\begin{array}{cc}3 & 6 \\ 0 & -1\end{array}\right]$
✓

Answer

x + y + x - y $ = \left[ {\begin{array}{*{20}{c}} 5&2 \\ 0&9 \end{array}} \right] + \left[ {\begin{array}{*{20}{c}} 3&6 \\ 0&{ - 1} \end{array}} \right]$
$2x = \left[ {\begin{array}{*{20}{c}} 8&8 \\ 0&8 \end{array}} \right]$
$x = \left[ {\begin{array}{*{20}{c}} 4&4 \\ 0&4 \end{array}} \right]$
And, (x + y) - (x - y) $ = \left[ {\begin{array}{*{20}{c}} 5&2 \\ 0&9 \end{array}} \right] - \left[ {\begin{array}{*{20}{c}} 3&6 \\ 0&{ - 1} \end{array}} \right]$
x + y - x + y $ = \left[ {\begin{array}{*{20}{c}} 2&{ - 4} \\ 0&{10} \end{array}} \right]$
$y = \left[ {\begin{array}{*{20}{c}} 1&{ - 2} \\ 0&5 \end{array}} \right]$

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

Similar questions

Find the maximum and minimum value, $f(x) = (2x - 1)^2 + 3$
→
Find $\frac{\text{dy}}{\text{ dx}} $in the following:
$\text{x}^{2}+\text{xy} + \text{y}^{2} =100$
→
Discuss the continuity of the function defined by $f(x)=\left\{\begin{array}{c} {x+2, \text { if } x<0} \\ {-x+2, \text { if } x>0} \end{array}\right.$
→
Write a square matrix which is both symmetric as well as skew-symmetric.
→
Examine the continuity of the function $f(x) = 2x^2 – 1 at x = 3$.
→
Differentiate the function ${\left( {\log x} \right)^{\cos x}}$ w.r.t. x.
→
Write the coefficient a, b, c of which the value of the integral $\int\limits^3_{-3}(\text{ax}^2+\text{bx}+\text{c})\text{dx}$ is independent.
→
If A, B has any two symmetric matrix. Then prove that $A B + B A$ will be a symmetric matrix.
→
Evaluate $\left|\begin{array}{rr} {2} & {4} \\ {-1} & {2} \end{array}\right|$
→
Determine whether or not the definition of $*$ given below gives a binary operation. In the event that $*$ is not a binary operation give justification of this.
On $Z^+$ define * by $a * b = |a - b|$
Here, $Z^+$ denotes the set of all non-negative integers.
→