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 work done in moving an object along the vector $3i + 2j - 5k,$ if the applied force is $\overrightarrow F = 2i - j - k$, is
For which interval the given function $f(x) = - 2{x^3} - 9{x^2} - 12x + 1$ is decreasing
If $f(x) = x + e^x,$ then area bounded by $f^{-1}(x),$ ordinates $x = 1$ and $x = 1 + e$ with $x$ -axis is (in $sq. units$)-
If $\vec{\text{a}},\vec{\text{b}},\vec{\text{c}}$ and $\vec{\text{d}}$ are the position vector of points A, B, C, D such that no three of them are collinear and $\vec{\text{a}}+\vec{\text{c}}=\vec{\text{b}}+\vec{\text{d}}$, then ABCD is a,
  1. Rhombus.
  2. Rectangle.
  3. Square.
  4. Parallelogram.
If $f(x) = A\, \sin\, \left( {\frac{{\pi \,x}}{2}} \right)$ $+ B , f’\, \left( {\frac{1}{2}} \right)$ $= \sqrt 2 $ and $\int\limits_0^1 {} $ $f(x) dx = \frac{{2\,A}}{\pi }$, Then the constants $A$ and $B$ are respectively.
If area bounded by the curves x = at2 and y = ax2 is 1, then a __________.
  1. $\frac{1}{2}$
  2. $\frac{1}{3}$
  3. $\frac{1}{\sqrt{3}}$
  4. $1$
If $f(a+b-x)=f(x)$, then $\int_a^b x f(x) d x=$ _________.
Let f : R → R be a function defined by $\text{f(x)}=\frac{\text{e}^{|\text{x}|}-\text{e}^{-\text{x}}}{\text{e}^{\text{x}}+\text{e}^{-\text{x}}}.$ Then,
  1. f is a bijection.
  2. f is an injection only.
  3. f is surjection on only.
  4. f is neither an injection nor a surjection.
If A and B are symmetric matrices, then ABA is:
  1. Symmetric matrix.
  2. Skew-symmetric matrix.
  3. Diagonal matrix.
  4. Scalar matrix.
The function $y = a(1 - \cos x)$ is maximum when $x = $