Problem 70
Question
Describe matrices that cannot be added or subtracted.
Step-by-Step Solution
Verified Answer
Matrices that do not have the same order, meaning the same number of rows and columns, cannot be added or subtracted.
1Step 1: Understanding Addition and Subtraction of Matrices
Addition and subtraction of matrices require that the two matrices have the same dimension. This means that matrices must be of the same order, i.e., they must have the same number of rows and the same number of columns.
2Step 2: Describing Matrices Which Cannot Be Added or Subtracted
If any matrix does not fulfill the requirement mentioned above, they cannot be added or subtracted. Concretely, two matrices A and B cannot be added or subtracted if the rows of A are not equal to the rows of B or columns of A are not equal to the columns of B. Hence, the matrices that can't be added or subtracted are those with dissimilar orders.
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