Question

Dimension of a Matrix

State the dimension of the matrix.

$\left[\begin{array}{rr}2& 7\\ 0& -1\\ 5& -3\end{array}\right]$

Short answer

The dimension of matrix is $3\times 2$

Step-by-step solution

Step 1. Given information

A matrix is given as-

$\left[\begin{array}{llll}1& 0& 0& 2\\ 0& 1& 0& 1\\ 0& 0& 1& 3\end{array}\right]$

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 $\left[\begin{array}{cc}2& 7\\ 0& -1\\ 5& -3\\ & \end{array}\right]$ has $3$rows and $2$columns.

Therefore, we say that the dimension has $3\times 2,3$rows by $2$columns.