Question

9. Suppose AB is defined and you know all the entries in both matrices.                a)...

9. Suppose AB is defined and you know all the entries in both matrices.

               a) Find the entry in row i and column j of AB

               b) Write column j of AB as a linear combination of columns of A.

               c) Write row i of AB as a liner combination of rows of B

               d) If A is size m×n and B is size x p , write AB as the sum of n matrices of size m×p by                                  partitioning A and B appropriately before multiplying.

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