MCQ
$A=\left[\begin{array}{l}a_{i j}\end{array}\right]_{m\times n}$ is a square matrix, if
  • A
    $m < n$
  • B
    $m > n$
  • $m=n$
  • D
    None of these

Answer

Correct option: C.
$m=n$
c
It is known that a given matrix is said to be a square matrix if the number of rows is equal to the number of columns.

Therefore, $A = {\left[ {{a_{ij}}} \right]_{m\, \times n}}$ is a square matrix, if $\mathrm{m}=\mathrm{n}$

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

Similar questions

The solution of $\frac{{dy}}{{dx}} = x\log x$ is
The total surface area $S$ can be expressed in terms of $V$ and $r$ as
Let $M$ be any $3 \times 3$ matrix with entries from the set $\{0,1,2\}$. The maximum number of such matrices, for which the sum of diagonal elements of $M ^{ T } M$ is seven, is .............
The values of  $x$, at which the first derivative of the function ${\left( {\sqrt x + {1 \over {\sqrt x }}} \right)^2}$ w.r.t. $x$  is ${3 \over 4}$, are
The minimum number of elements that must be added to the relation $R =\{( a , b ),( b , c )\}$ on the set $\{a, b, c\}$ so that it becomes symmetric and transitive is:
Let a relation $R$ on $\mathbb{N} \times \mathbb{N}$ be defined as : $\left(\mathrm{x}_1, \mathrm{y}_1\right) \mathrm{R}\left(\mathrm{x}_2, \mathrm{y}_2\right)$ if and only if $\mathrm{x}_1 \leq \mathrm{x}_2$ or $\mathrm{y}_1 \leq \mathrm{y}_2$

Consider the two statements :

($I$) $\mathrm{R}$ is reflexive but not symmetric.

($II$) $\mathrm{R}$ is transitive

Then which one of the following is true?

The function $\sin x - \cos x$ is increasing in the interval
If P and q are the order and degree of the differention $\text{y}\frac{\text{dy}}{\text{dx}}+\text{x}^{3}\frac{\text{d}^{2}\text{y}}{\text{dx}^{3}}+\text{xy}=\cos\text{x}$ then: 
  1. $\text{p}<\text{q}$ 
  2. $\text{p}=\text{q}$
  3. $\text{p}>\text{q}$
  4. None of these. 
A function $y = f (x)$ satisfies $(x + 1) .\,\,$$ f ‘ (x) - 2 (x2 + x) f (x) = \frac{{{e^{{x^2}}}}}{{(x + 1)}}\,\,$,  If $f (0) = 5 ,$ then $f (x)$ is
$\int_{}^{} {\frac{{a{x^{ - 2}} + b{x^{ - 1}} + c}}{{{x^{ - 3}}}}} \;dx = $