How do I determine the dimensions of the following matrix product?
A 2x3 * B 3x5
??
To be able to multiply two matrices,
the number of columns of the first must match the number of rows of the second
For your example that is the true
2 by 3 vs 3 by 5
the result will be 2 by 5
To determine the dimensions of a matrix product, you need to consider the number of rows and columns in each matrix involved in the multiplication.
In this case, you have matrix A with dimensions 2x3 (2 rows and 3 columns) and matrix B with dimensions 3x5 (3 rows and 5 columns).
To multiply these matrices, the number of columns in matrix A must be equal to the number of rows in matrix B. In this case, both matrices have a matching value of 3.
The resulting matrix will have the number of rows from matrix A and the number of columns from matrix B. In this case, the resulting matrix will have dimensions of 2x5 (2 rows and 5 columns).