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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} $
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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 by sharmaaparna1
 

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