Matrix multiplication- Gilbert strang

Question

Multiple Interpretations of Matrix Multiplications

Say we are multiplying two matices A × B = C. Multiple ways to “interpret” this operation:

• Row-wise approach: Ci = Ai × B. Rows of C are linear combinations of rows in B
•  Column multiplied by rows: Note that a column vector multiplied by a row vector is a full matrix. Now, we can think of C as a sum of products between ith column of A and ith row of B!

I am unable to understand these two ways as mentioned in gibert strang book and video ? 

Comments

Ask me if you still having problem

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Clearly explained Thanks.
It will be really helpful if you explain block wise method also.