Q11. - Algebra 2

Question

State the dimensions of each matrix.

 

11.  $\left[\begin{array}{c}7\\ 8\\ 9\\ \end{array}\right]$

Step-by-Step Solution

Answer

The dimension of the matrix $\left[\begin{array}{c}7\\ 8\\ 9\\ \end{array}\right]$ is $\mathbf{3}\mathbf{\times }\mathbf{1}$.

Step 1 - Count the number of rows

The number of rows of the provided matrix is 3, that is, $\left[7\right]$, $\left[8\right]$ and $\left[9\right]$.

Step 2 – Count the number of columns

The number of columns of the provided matrix is 1, that is, $\left[\begin{array}{c}7\\ 8\\ 9\\ \end{array}\right]$.

Step 3 – State the dimension

The dimension of a matrix is defined as $m\times n$, where $m$is the number of rows and $n$ is the number of columns.

Therefore, for the matrix $\left[\begin{array}{c}7\\ 8\\ 9\\ \end{array}\right]$, the dimension is $3\times 1$.