Linear Combination - Yousef's Notes
Linear Combination

Linear Combination

If $A_1, A_2, \ldots, A_r$ are matrices of the same size, and if $c_1, c_2, \ldots, c_r$ are scalars, then an expression of the form $$ c_1A_1 + c_2A_2 + \cdots + c_rA_r $$

is called a linear combination of $A_1, A_2, \ldots, A_r$ with coefficients $c_1, c_2, \ldots, c_r$.

#Matrix multiplication as linear combination

#Columns of a product AB as Linear Combinations