SOLUTION: Determine whether the product of matrices A and B is defined. If so, give the dimensions of the product matrix. Matrix A: 6 x 2 Matrix B: 2 x 4

Question 161176This question is from textbook saxon algebra 2
: Determine whether the product of matrices A and B is defined. If so, give the
dimensions of the product matrix.
Matrix A: 6 x 2
Matrix B: 2 x 4 This question is from textbook saxon algebra 2

Answer by schrammbledeggs(41) (Show Source): You can put this solution on YOUR website!
The product of matrices A and B are definitely defined. Remember, the ONLY time 2 matrices can be multiplied is if the number of columns in the first matrix is the same as the number of rows in the second matrix.
Since Matrix A has 2 columns and Matrix B has 2 rows...these two matrices can in fact be multiplied successfully.
Finding the dimensions of the product matrix is easy. Just multiply the number of ROWS in the first matrix by the number of COLUMNS in the second matrix.
In this case, Matrix A has 6 rows and Matrix B has 4 columns.
Dimensions of product matrix = 6 x 4
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