Order of the following matrices

Question

Question:

Find the order of the following matrices.

A = $~\left[ \begin{matrix} 2 & 3 \ -5 & 6 \ \end{matrix} ight]$	B = $~\left[ \begin{matrix} 2 & 0 \ 3 & 5 \ \end{matrix} ight]$
C = $\left[ \begin{matrix} 2 & 4 \ \end{matrix} ight]$	D = $\left[ \begin{matrix} 4 \ 0 \ 6 \ \end{matrix} ight]$
E = $\left[ \begin{matrix} a & d \ b & e \ c & f \ \end{matrix} ight]$	F = $\left[ 2 ight]$
G=$~\left[ \begin{matrix} 2 & 3 & 0 \ 1 & 2 & 3 \ 2 & 4 & 5 \ \end{matrix} ight]$	H = $\left[ \begin{matrix} 2 & 3 & 4 \ 1 & 0 & 6 \ \end{matrix} ight]$

Accepted Answer

Solution:

Order of the Matrix:

The number of rows and columns in a Matrix specifies its order.

Ans. (i) Matrix A has two rows and two columns

So, its order = number of rows x number of columns = 2-by-2.

Ans. (ii) Matrix B has two rows and two columns

So, its order = number of rows x number of columns = 2-by-2.

Ans. (iii) Matrix C has one row and two columns

So, its order = number of rows x number of columns = 1-by-2.

Ans. (iv) Matrix D has three rows and one column

So, its order = number of rows x number of columns = 3-by-1.

Ans. (v) Matrix E has three rows and two columns

So, its order = number of rows x number of columns = 3-by-2.

Ans. (vi) Matrix F has one row and one column

So, its order = number of rows x number of columns = 1-by-1.

Ans. (vii) Matrix G has three rows and three columns

So, its order = number of rows x number of columns = 3-by-3.

Ans. (viii) Matrix A has two rows and three columns

So, its order = number of rows x number of columns = 2-by-3.

A = $~\left[ \begin{matrix} 2 & 3 \\ -5 & 6 \\ \end{matrix} \right]$	B = $~\left[ \begin{matrix} 2 & 0 \\ 3 & 5 \\ \end{matrix} \right]$
C = $\left[ \begin{matrix} 2 & 4 \\ \end{matrix} \right]$	D = $\left[ \begin{matrix} 4 \\ 0 \\ 6 \\ \end{matrix} \right]$
E = $\left[ \begin{matrix} a & d \\ b & e \\ c & f \\ \end{matrix} \right]$	F = $\left[ 2 \right]$
G=$~\left[ \begin{matrix} 2 & 3 & 0 \\ 1 & 2 & 3 \\ 2 & 4 & 5 \\ \end{matrix} \right]$	H = $\left[ \begin{matrix} 2 & 3 & 4 \\ 1 & 0 & 6 \\ \end{matrix} \right]$