Browse Questions
Home  >>  CBSE XII  >>  Math  >>  Matrices

# If possible,find the sum of the matrices A and B,where $A=\begin{bmatrix}\sqrt 3 & 1\\2 & 3\end{bmatrix},and\; B=\begin{bmatrix}x & y & z\\a & b &6\end{bmatrix}$

$\begin{array}{1 1} Not \;defined \\ \begin{bmatrix}x & y+1 & z+3\\a & b &6\end{bmatrix} \\ \begin{bmatrix}x & y+1 & z+3\\a & b+3 &6\end{bmatrix} \\\begin{bmatrix}x & y+1 & z+3\\a+2 & b+3 &6\end{bmatrix} \end{array}$
Can you answer this question?

Toolbox:
• It is emphasized that if A and B are not of the same order then A+B is not defined.
Step1:
Given
$A=\begin{bmatrix}\sqrt 3 & 1\\2 & 3\end{bmatrix}$
$B=\begin{bmatrix}x & y & z\\a & b &6\end{bmatrix}$
The order of matrix A= 2x2
The order of matrix B= 2x3
Hence matrix A and B are not of the same order
Then If A & B are not of the same order then A+B is not defined.

answered Mar 21, 2013