# Write the order of each of the following matrices:

Question:

Write the order of each of the following matrices:

i. $A=\left[\begin{array}{cccc}3 & 5 & 4 & -2 \\ 0 & \sqrt{3} & -1 & \frac{4}{9}\end{array}\right]$

ii. $B=\left[\begin{array}{cc}6 & -5 \\ \frac{1}{2} & \frac{3}{4} \\ -2 & -1\end{array}\right]$

iii. $\mathrm{C}=\left[\begin{array}{lll}7-\sqrt{2} & 5 & 0\end{array}\right]$

iv. $D=[8-3]$

v. $E=\left[\begin{array}{c}-2 \\ 3 \\ 0\end{array}\right]$

vi, $F=[6]$

Solution:

i. $A=\left[\begin{array}{cccc}3 & 5 & 4 & -2 \\ 0 & \sqrt{3} & -1 & \frac{4}{9}\end{array}\right]$

Order of matrix = Number of rows x Number of columns

$=(2 \times 4)$

ii. $\mathrm{B}=\left[\begin{array}{cc}6 & -5 \\ \frac{1}{2} & \frac{3}{4} \\ -2 & -1\end{array}\right]$

Order of matrix = Number of rows x Number of columns

$=(4 \times 2)$

iii. $\mathrm{C}=\left[\begin{array}{lll}7-\sqrt{2} & 5 & 0\end{array}\right]$

Order of matrix = Number of rows x Number of columns

$=(1 \times 4)$

iv. $D=[8-3]$

Order of matrix = Number of rows x Number of columns

$=(1 \times 2)$

v. $E=\left[\begin{array}{c}-2 \\ 3 \\ 0\end{array}\right]$

Order of matrix = Number of rows x Number of columns

$=(3 \times 1)$

vi, $\mathrm{F}=[6]$

Order of matrix = Number of rows x Number of columns

$=(1 \times 1)$