Adding Matrices

Adding Matrices

The sum of two m \times n matrices X and Y is theĀ  m \times n matrix X + Y in which each element is the sum of the corresponding elements of X and Y.

Caution:- It is important to remember that only matrices that are the same size can be added.

Example:-

\begin{bmatrix}  5 &-6 \\  8& 9  \end{bmatrix} + \begin{bmatrix}  -4 & 6\\  8& -3  \end{bmatrix} = \begin{bmatrix}  5+(-4) &-6+6 \\  8+8& 9+(-3)  \end{bmatrix}=\begin{bmatrix}  1 &0 \\  16& 6  \end{bmatrix}

 

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