What are the dimensions of the answer if you multiply a matrix with the dimensions 3 x 0 by a matrix with dimensions 0 x 3?
Are you sure you don't mean dimensions 3 x 1 and 1 x 3? There must be at least one row and/or column in a matrix.
You can multiply a m x p and a p x n matrix and the result will be a m x n matrix, but m,p, and n must be natural numbers.
I can't visualize a 3 x 0 matrix.
It must have 3 rowns but zero columns, so where are the entries??
Yes I ment 3 x 1 multiplied by 1 x 3. Sorry.
To determine the dimensions of the answer when multiplying matrices, you need to multiply the number of rows of the first matrix by the number of columns of the second matrix.
In this case, the first matrix has dimensions 3 x 0, which means it has 3 rows and 0 columns. The second matrix has dimensions 0 x 3, meaning it has 0 rows and 3 columns.
To perform the multiplication, you multiply each element of the first matrix by the corresponding element in the second matrix and sum the results.
Since one of the matrices has 0 columns and the other has 0 rows, there are no corresponding elements to multiply, and therefore, the multiplication cannot be performed. As a result, the answer is a matrix with dimensions 3 x 3.
However, it is important to note that in mathematics, by convention, matrices with 0 rows or 0 columns are considered empty matrices or matrices with no elements. Therefore, the multiplication between a 3 x 0 matrix and a 0 x 3 matrix is undefined.