Chapter 6.7, Problem 59SR

To determine

To find: The indicated matrix operations

Answer to Problem 59SR

It is impossible to perform the indicated matrix operations

Explanation of Solution

Given:

  $\left[\begin{array}{c}5\\ -8\\ 3\end{array}\right]+\left[\begin{array}{ccc}9& -4& 2\end{array}\right]$

Calculation:

To subtract two matrices, should the same order of the matrices.

Subtract the corresponding components of the matrices

  $\left[\begin{array}{c}5\\ -8\\ 3\end{array}\right]$

  $3rows$

  $1column$

The above matrix has $3rows$ and $1column$

Therefore it is a $3\times 1matrix$

  $\left[\begin{array}{ccc}9& -4& 2\end{array}\right]$

  $1row$

  $3columns$

The above matrix has $1row$ and $3columns$

Therefore it is a $1\times 3matrix$

Order of matrices is not same

Thus, it is impossible to perform the operation

Conclusion:

Hence, it is impossible to perform the indicated matrix operations