Optional

Linear algebra self-check

Three questions on matrix multiply and the dot product. Nothing here is required to use the lab.

A is M×K and B is K×N. What shape is C = AB? K×K M×N M×K
What is one entry C[i, j] of that product? Row i of A added to column j of B. The dot product of row i of A and column j of B. A[i, i] times B[j, j].
Which dimension does that dot product run along? M, the number of rows in C. N, the number of columns in C. K, the shared dimension.

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