The addition of two matrix is : (**A** + **B**)_{i,j} = **A**_{i,j} + **B**_{i,j}, where 1 ≤ *i* ≤ *m* and 1 ≤ *j* ≤ *n*.

Multiplication of two matrices are given by dot product of the corresponding row of A and the corresponding column of B, Follow the Fig below.

The *transpose* of an matrix **A** is from *n*-by-*m* matrix to the *n*-by-*m* matrix **A**^{T}: (**A**^{T})_{i,j} = **A**_{j,i}.

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