Q47. - Algebra 2

Question

State the dimensions of each matrix.

 

47. $\left[\begin{array}{ccc}7& -3& 5\\ 0& 2& -9\\ 6& 5& 1\end{array}\right]$

Step-by-Step Solution

Answer

The dimension of the matrix is $3\times 3$.

Step 1 - Define the dimension of the matrix m × n .

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

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 7 − 3 5 0 2 − 9 6 5 1

In order to state the dimension of the matrix $\left[\begin{array}{ccc}7& -3& 5\\ 0& 2& -9\\ 6& 5& 1\end{array}\right]$, observe that the matrix has 3 rows and 3 columns, therefore, the dimension of matrix will be $3\times 3$.