If X is a matrix with 3 rows and 2 columns, and Y is a matrix with 2 rows and 3 columns, then we can perform the multiplication YX but not XY.
Question
If X is a matrix with 3 rows and 2 columns, and Y is a matrix with 2 rows and 3 columns, then we can perform the multiplication YX but not XY.
Solution
This statement is incorrect. In matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. Therefore, you can multiply matrix X (which has 2 columns) by matrix Y (which has 2 rows). This operation will result in a new matrix with 3 rows (from matrix X) and 3 columns (from matrix Y).
On the other hand, you cannot multiply matrix Y (which has 3 columns) by matrix X (which has 3 rows), because the number of columns in Y does not equal the number of rows in X.
So, you can perform the multiplication XY but not YX.
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