Chapter 4, Problem 2MCQ

To determine

Tofind:the dimension of the matrix.

Answer to Problem 2MCQ

The dimension of matrices $\text{A}$ is $3\times 4$ .

Explanation of Solution

Given:

  $\left[\begin{array}{cccc}10& -6& 18& 0\\ -7& 5& 2& 4\\ 3& 11& 9& 7\end{array}\right]$

Concept used:

The number of rows and the columns that a matrix has is called dimension or its order denoted by $\text{row}\times \text{column}$ .

Dimension of the matrix:

  $\text{row}\times \text{column}$ .

Calculation:

  $\left[\begin{array}{cccc}10& -6& 18& 0\\ -7& 5& 2& 4\\ 3& 11& 9& 7\end{array}\right]$ .

Let the matrices be $\text{A}$ .

  $\text{A=}\left[\begin{array}{cccc}10& -6& 18& 0\\ -7& 5& 2& 4\\ 3& 11& 9& 7\end{array}\right]$ .

  ${\text{a}}_{\text{11}}$ = position number one first row and first column. So, the two digits number below shows the position of the row and the column specifically first digit from the left shows the rows and second digit shows column.

The number of rows and the columns that a matrix has is called dimension or its order denoted by $\text{row}\times \text{column}$ .

Since, the given matrices $\text{A}$ has 3 row and 4 columns.

Hence, the dimension of matrices $\text{A}$ is $3\times 4$ .