Chapter 12.1, Problem 6LC

To determine

To describe and correct: the given mistake by a student’s when added the two matrices.

Answer to Problem 6LC

Not possible.

Explanation of Solution

Given:

The given matrix is $\left[\begin{array}{l}3-4\\ 50\end{array}\right]+\left[\begin{array}{l}2\\ -6\end{array}\right]$ .

And the addition of the matrices by the student is $\left[\begin{array}{l}3-4\\ 50\end{array}\right]+\left[\begin{array}{l}2\\ -6\end{array}\right]=\left[\begin{array}{l}-3\\ -1\end{array}\right]$

Concept used:

The sum or differences of the any matrix is possible, when the number of elements of both matrices are same. i.e. number of columns are same and number of rows are same.

Calculation:

The given matrix is $\left[\begin{array}{l}3-4\\ 50\end{array}\right]+\left[\begin{array}{l}2\\ -6\end{array}\right]$ .

Here number of elements in both matrices are not same.

Thus, the order of each matrix is not same.

Therefore, the addition is not possible.

Hence, the sum of the given matrix is not possible.