Problem 77 - Algebra and Trigonometry

Question

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I added matrices of the same order by adding corresponding elements.

Step-by-Step Solution

Answer

The statement makes sense as it follows the correct procedure of matrix addition in linear algebra.

Step 1: Understanding Matrix Addition

In linear algebra, the addition of two matrices of the same order (i.e., having the same number of rows and columns) is possible and is done by adding the corresponding elements. Therefore, if we have two matrices A and B, the element in the i-th row and j-th column of the resulting matrix is obtained by adding the element in the i-th row and j-th column from A and the corresponding element from B.

Step 2: Assessment of the Statement

The statement 'I added matrices of the same order by adding corresponding elements' is consistent with the rules of matrix addition in linear algebra.

Step 3: Concluding the Validation of the Statement

Given the explanation in Step 1 and the evaluation in Step 2, we can conclude that the provided statement makes sense in the context of linear algebra.