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Say that you are forming the product A5×3 B3×2 = C5×2

What row and column are used to calculate the 3rd row 2nd column of C ?

Answer:

The 3rd row of A and the 2nd column of B

Another Way to Visualize

Visualizing Matrix Multiplication

Your computer graphics book might show a different way to do matrix-matrix multiplication. There are several ways to think about it, although the results are the same.

The diagram shows another way to visualize the product AB = C. Write A to the left and B above the result, C. Now draw horizontal lines and vertical lines to divide C into cells. This will automatically form the correct number of cells.

The number to put in each cell is the dot product of the row of A and column of B that intersect to for the cell.


QUESTION 5:

Calculate the value of: