High School

you need the 5th column of the product ab, where a is a 10x5 matrix and b is a 5x20 matrix. how many numbers do you need to see in a and b (combined) to obtain this column?

Answer :

Final answer:

To obtain the 5th column of the product AB, where A is a 10x5 matrix and B is a 5x20 matrix, you need to see 55 numbers from matrices A and B combined.

Explanation:

In order to obtain the 5th column of the product AB, where A is a 10x5 matrix and B is a 5x20 matrix, we need to consider each row of A and the 5th column of B. Since A is a 10x5 matrix, it has 10 rows. And because we're interested specifically in the 5th column of B, we only need to examine that column in B. Therefore, in A we have 10 rows * 5 columns = 50 numbers, and in B we have 5 rows * 1 column = 5 numbers.

So in total, to calculate the 5th column of the product AB, you need to see 50 + 5 = 55 numbers from matrices A and B combined.

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