Consider the two matrices P and Q which are 10 x 20 and 20 x 30 matrices respectively. What is the number of multiplications required to multiply the two matrices?1 point10*2020*3010*3010*20*30
Question
Consider the two matrices P and Q which are 10 x 20 and 20 x 30 matrices respectively. What is the number of multiplications required to multiply the two matrices?1 point1020203010301020*30
Solution
The number of multiplications required to multiply two matrices is given by the number of rows in the first matrix times the number of columns in the second matrix times the number of columns in the first matrix (or rows in the second matrix, as they are the same).
In this case, P is a 10 x 20 matrix and Q is a 20 x 30 matrix.
So, the number of multiplications required to multiply P and Q is 10 (rows in P) * 30 (columns in Q) * 20 (columns in P or rows in Q) = 6000.
So, the correct answer is 102030.
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