If A = -1 & 0 & 0 0 & x & 0 0 & 0 & m is … - Vidyadip

MCQ

If $\text{A} =\displaystyle \begin{bmatrix} -1 &\text{amp; } 0 &\text{amp; }0 \\ 0 &\text{amp; }\text{x} &\text{amp; } 0 \\ 0 &\text{amp; } 0 &\text{amp; }\text{m} \end{bmatrix}$is a scalar matrix then $\text{x}+\text{m}=$

A
$0$
B
$-1$
✓
$-2$
D
$-3$

✓

Answer

Correct option: C.

$-2$

A scalar matrix has all the elements of the diagonals same.
For example : $ \begin{bmatrix} 3 &\text{amp; } 0\\ 0&\text{amp; } 3 \end{bmatrix}$
In our case $A$ is given to be a scalar matrix hence all the diagonal elements must be same.
So, $\text{x} = \text{m} = -1$
And $\text{x}+\text{m} = -1 -1 = -2$

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 "M.C.Q (1 Marks)" 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

Let $r$ be a relation from $R$ (Set of real number) to $R$ defined by $r$ = $\left\{ {\left( {x,y} \right)\,|\,x,\,y\, \in \,R} \right.$ and $xy$ is an irrational number $\}$ , then relation $r$ is

Let $A=\{1,2,3,4\}$ and $R$ be a relation in $A$ given by $R=\{(1,1),(2,2),(3,3),(4,4),(1,2)$, $(2,1),(3,1)\}$. Then, $R$ is

The integral $\int \limits_{0}^{2} \| x-1|-x| d x$ is equal to

$$f(x)=\left| {\begin{array}{*{20}{c}} {{{\sin }^2}x}&{ - 2 + {{\cos }^2}x}&{\cos 2x} \\ {2 + {{\sin }^2}x}&{{{\cos }^2}x}&{\cos 2x} \\ {{{\sin }^2}x}&{{{\cos }^2}x}&{1 + \cos 2x} \end{array}} \right| ,x \in[0, \pi]$$

Then the maximum value of $f(x)$ is equal to $.....$

If ${x^2} + {y^2} = t - \frac{1}{t},{x^4} + {y^4} = {t^2} + \frac{1}{{{t^2}}}$ then $\frac{{dy}}{{dx}}$ equals

If for $AX = B,$ $B = \left[ \begin{array}{l}9\\52\\0\end{array} \right]$ and ${A^{ - 1}} = \left[ {\begin{array}{*{20}{c}}3&{ - \frac{1}{2}}&{ - \frac{1}{2}}\\{ - 4}&{\,\,\,\frac{3}{4}}&{\,\,\,\,\frac{5}{4}}\\2&{ - \frac{1}{4}}&{ - \frac{3}{4}}\end{array}} \right]$, then $X$ is equal to

Which of the following is correct:

Choose the correct answer in Exercise:
$\int\frac{\cos2\text{x}}{(\sin\text{x}+\cos\text{x)}^{2}}$ is equal to

The elimination of the arbitrary constants $A, B$ and $C$ from $y = A + Bx + C{e^{ - x}}$leads to the differential equation

If $x = a{t^2},y = 2at$, then ${{{d^2}y} \over {d{x^2}}} = $