Q46. - Algebra 2

Question

State the dimensions of each matrix.

 

46. $\left[\begin{array}{cccc}5& 1& -6& 2\\ -38& 5& 7& 3\end{array}\right]$

Step-by-Step Solution

Answer

The dimension of the matrix is $2\times 4$.

Step 1 - Define the dimension of the matrix

A matrix A with m rows and n columns is a matrix of dimensions $m\times n$.

Step 2 - State an example

Let us consider a matrix $A=\left[\begin{array}{ccc}1& 2& -3\\ 0& 1& 4\end{array}\right]$. Clearly, matrix A has 2 rows and 3 columns, therefore, the dimension of matrix A will be $2\times 3$.

Step 3 - State the dimension of 5 1 − 6 2 − 38 5 7 3

In order to state the dimension of the matrix $\left[\begin{array}{cccc}5& 1& -6& 2\\ -38& 5& 7& 3\end{array}\right]$, observe that the matrix has 2 rows and 4 columns, therefore, the dimension of matrix will be $2\times 4$.