No, we cannot add or subtract matrices of different dimensions. In order for two matrices to be added or subtracted, they must have the same dimensions, which means they must have the same number of rows and the same number of columns.

  Addition and subtraction of matrices is done element-wise, meaning that the corresponding elements in the matrices are added or subtracted. Therefore, if the matrices have different dimensions, we cannot find the corresponding elements to perform the operation.

  For example, let's consider two matrices:

  Matrix A with dimensions 2x3 (2 rows and 3 columns):

  1 2 3

  4 5 6

  Matrix B with dimensions 3x2 (3 rows and 2 columns):

  7 8

  9 10

  11 12

  Since the two matrices have different dimensions, we cannot directly add or subtract them. The dimensions must match for the operation to be valid.