Question

Can you add a 2by2 matrix with a 2by1 matrix?
a. yes
b. no

Answer 1

No, you cannot add a 2x2 matrix with a 2x1 matrix because they do not have the same dimensions which is a requirement for matrix addition. Correct option is (b) no

Step-by-step explanation:

Can you add a 2x2 matrix with a 2x1 matrix? The answer is no. In matrix addition, the two matrices must be of the same dimensions. That means they must have the same number of rows and columns. Since a 2x2 matrix has 2 rows and 2 columns, and a 2x1 matrix has 2 rows and 1 column, their dimensions are not the same. Therefore, you cannot directly add them together.