Q4. - Algebra 2

Question

State the dimensions of each matrix.

 

4. $\left[\begin{array}{ccccc}3& 4& 5& 6& 7\\ & & & & \end{array}\right]$

Step-by-Step Solution

Answer

The dimension of the matrix $\left[\begin{array}{ccccc}3& 4& 5& 6& 7\\ & & & & \end{array}\right]$ is $\mathbf{1}\mathbf{\times }\mathbf{5}$.

Step 1 - Count the number of rows

The number of rows of the provided matrix is 1, that is, $\left[\begin{array}{ccccc}3& 4& 5& 6& 7\\ & & & & \end{array}\right]$.

Step 2 – Count the number of columns

The number of columns of the provided matrix is 5, that is, $\left[3\right]$, $\left[4\right]$, $\left[5\right]$, $\left[6\right]$, and $\left[7\right]$.

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 $\left[\begin{array}{ccccc}3& 4& 5& 6& 7\\ & & & & \end{array}\right]$, the dimension is $1\times 5$.