If a matrix has 8 elements, what are the possible orders it can h… - Vidyadip

Question

If a matrix has 8 elements, what are the possible orders it can have? What if it has 5 elements?

✓

Answer

We know that if a matrix is of order m × n, then it has mn elements.
The possible orders of a matrix with 8 elements are given below:
1 × 8, 2 × 4, 4 × 2, 8 × 1
Thus, there are 4 possible orders of the matrix.
The possible orders of a matrix with 5 elements are given below:
1 × 5, 5 × 1 Thus, there are 2 possible orders of the matrix.

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 "3 Marks" from Algebra of Matrices→Algebra of 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 angle between the lines
$
\begin{array}{ll}
& 2 x=3 y=-z \\
\text { and } & 6 x=-y=-4 z .
\end{array}
$

Two dice are thrown. Find the probability that the numbers appeared has the sum 8, if it is known that the second die always exhibits 4.

Give examples of two functions f : N → N and g : N → N, such that gof is onto but f is not onto.

On the set Z of integers, if the binary operation * is defined by a * b = a + b + 2, then find the identity element.

Are the following set of ordered pairs functions? If so, examine whether the mapping is injective or surjective.

{(x, y): x is a person, y is the mother of x}.
{(a, b): a is a person, b is an ancestor of a}.

Determine the value of the constant k so that the function
$\text{f}\text{(x)}=\begin{cases}\frac{\text{x}^2-3\text{x}+2}{\text{x}-1}, &\text{if}\text{ x}\neq1\\\text{k}, &\text{if}\text{ x}=1\end{cases}$ is continuous at x = 1

Suppose f₁ and f₂ are non-zero one-one functions from R to R. Is $\frac{\text{f}_1}{\text{f}_2}$ necessarily one-one? Justify your answer. Here, $\frac{\text{f}_1}{\text{f}_2}:\text{R}\rightarrow\ \text{R}$ is given by $\Big(\frac{\text{f}_1}{\text{f}_2}\Big)(\text{x})=\frac{\text{f}_1(\text{x})}{\text{f}_2(\text{x})}$ for all $\text{x}\in\text{R}.$

If $\text{y}=\sqrt{\log\text{x}+\sqrt{\log\text{x}+\sqrt{\log\text{x}+\ .... \text{to }\infty}}},$ prove that $(2\text{y}-1)\frac{\text{dy}}{\text{dx}}=\frac{1}{\text{x}}$

verify that $\text{y}=\text{cx}+2\text{c}^2$ is a solution of the differential equation $2\Big(\frac{\text{d}\text{y}}{\text{dx}}\Big)^2-\text{x}\frac{\text{dy}}{\text{dx}}+\text{y}=0$

By using the properties of definite integral, evaluate the integral in Exercise:
$\int\limits_{0}^{\frac{\pi}{2}}\frac{\sin^{\frac{3}{2}}\text{x}\ \text{dx}}{\sin^{\frac{3}{2}}\text{x}+\cos^{\frac{3}{2}}\text{x}}$