SOLUTION: Two matrices can be multiplied only if their sizes are compatible. Suppose that U is an m × n matrix, and the V is a p × q matrix. In order for the matrix product UV to make sens

Question 1179469: Two matrices can be multiplied only if their sizes are compatible. Suppose that U is an m × n matrix, and the V is a p × q matrix. In order for the matrix product UV to make sense, what must be true about the dimensions of these matrices?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

n=p

Basic matrix rules.

The number of entries in each row of U (i.e., the number of columns in U), which is n, must be the same as the number of entries in each column of V (i.e., the number of rows in V), which is p.

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