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 Question" from Algebra of Matrices→Algebra of Matrices — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Evaluate: $\int\left\{\frac{1}{\log x}-\frac{1}{(\log x)^2}\right\} d x$; (where $\left.x>1\right)$.

For the following differntial equations verify that the accompanying function is a solution:

Differential equation	Function
$\text{x}^3\frac{\text{d}{^2}\text{y}}{\text{dx}^2}=1$	$\text{y}=\text{ax}+\text{b}+\frac{1}{2\text{x}}$

Differentiate the following w.r.t. x:
$\log\Big(\text{x}+\sqrt{\text{x}^2+\text{a}}\Big)$

Differentiate the function with respect to x : $2 \sqrt{\cot \left(x^{2}\right)}$

Find a vector of magnitude 5 units and parallel to the resultant of the vectors $\vec a = 2\hat i + 3\hat j - \hat k$ and $\vec b = \hat i - 2\hat j + \hat k$

Solve the following equation:
$2\tan^{-1}\left(\cos x\right)=\tan^{-1}\left(2\ \text{cosec}\ x\right)$

Let $\text{A} = \begin{bmatrix}0 & 1\\0 & 0 \end{bmatrix},$ show that $(aI + bA)^n = a^nI + na^{n-1} bA$ where I is the identity matrix of order $2$ and $ \text{n} \in \text{N}.$

Evaluate the following integrals:
$\int\sec\text{x}.\text{log} (\sec\text{x}+\tan\text{x})\text{dx}$

If $\text{f(x)}=\frac{2\text{x}+3\sin\text{x}}{3\text{x}+2\sin\text{x}},\text{ x}\neq0$ is continuous at x = 0, then find f(0).

Write a value of $\int\frac{\text{a}^{\text{x}}}{3+\text{a}^{\text{x}}}\text{ dx}$