Question
The possibility for the formation of rectangular matrices in the matrix algebra are?
  1. rows greater than columns
  2. rows lesser than columns
  3. rows greater than column by 2 times
  4. None of these

Answer

  1. rows greater than columns

Solution:

The possibilities of formation of rectangular matrix are the following:

(1) Rows are greater then columns.

(2) Columns are greater then rows.

(3) Rows greater then column by 2 times.

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 number of symmetric matrices of order $3$, with all the entries from the set $\{0,1,2,3,4,5,6,7,8,9\}$, is :
If $y = \frac{x}{{\ln \,|c\,x|}}$ (where $c$ is an arbitrary constant) is the general solution of the differential equation $\frac{{dy}}{{dx}} =  \frac{y}{x}+  \phi \left( {\frac{x}{y}} \right)$ then the function $\phi \left( {\frac{x}{y}} \right)$ is :
The domain of function $f(x)=\sin ^{-1} x+\cos x$ is-
lf a line makes angles $\frac{\pi}{12},\frac{5\pi}{12}$ with oy, oz respectively where 0 = (0, 0, 0), then the angle made by that line with ox is:
  1. 45°
  2. 90°
  3. 60°
  4. 30°
Let $\mathrm{y}=\mathrm{y}(\mathrm{x})$ be the solution of the differential equation, $\frac{2+\sin x}{y+1} \cdot \frac{d y}{d x}=-\cos x, y>0, y(0)=1,$ If $y(\pi)=a$ and $\frac{\mathrm{dy}}{\mathrm{dx}}$ at $\mathrm{x}=\pi$ is $b$, then the ordered pair $(a, b)$ is equal to :
If$f(x) = \left\{ \begin{array}{l}{e^{1/x}},\;{\rm{when}}\;x \ne 0\\0,\;\;\;\;\;{\rm{when}}\;x = 0\end{array} \right.$, then
The cost function at American Gadget is $C(x) = x^3 - 6x^2 + 15x$ $(x$ in thousands of units and $x > 0)$ The production level at which average cost is minimum is
If $\text{S}=\begin{bmatrix}\text{a} & \text{b} \\ \text{c} & \text{d} \end{bmatrix},$ then adj A is:
  1. $\begin{bmatrix} -\text{d} & -\text{b} \\ -\text{c} & \text{a} \end{bmatrix}$
  2. $\begin{bmatrix} \text{d} & -\text{b} \\ -\text{c} & \text{a} \end{bmatrix}$
  3. $\begin{bmatrix} \text{d} & \text{b} \\ \text{c} & \text{a} \end{bmatrix}$
  4. $\begin{bmatrix} \text{d} & \text{c} \\ \text{b} & \text{a} \end{bmatrix}$
The area bounded by the y-axis, $\text{y}=\cos\text{x}$ and $\text{y}=\sin\text{x}$ when $0\leq\text{x}\leq\frac{\pi}{2}$ is:
  1. $2\big(\sqrt{2}-1\big)$
  2. $\sqrt{2}-1$
  3. $\sqrt{2}+1$
  4. $\sqrt{2}$ 
Choose the correct answer from the given four options.
If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is:
  1. Reflexive.
  2. Transitive.
  3. Symmetric.
  4. None of these.