Question

Dimension of a Matrix

State the dimension of the matrix.

$\left[\begin{array}{r}-3\\ 0\\ 1\end{array}\right]$

Short answer

The dimension of matrix is $3\times 1$

Step-by-step solution

Step 1. Given information

A matrix is given as-

$\left[\begin{array}{r}-3\\ 0\\ 1\end{array}\right]$

Step 2. Concept used

The dimensions of a matrix are the number of rows by the number of columns. If a matrix has $a$ rows and $b$ columns, it is an $a\times b$ matrix.

Step 3. Calculation

Here, in this question, we have to write the dimension for the given matrix. So, we know that the matrix $\left[\begin{array}{r}-3\\ 0\\ 1\end{array}\right]$has $3$ rows and $1$ columns.

Therefore, we say that the dimension has $3\times 1,3$rows by $1$ columns.