Questions: Determine the order of the matrix. [ [ 9 5 7 -4 -4 1 ] ]

Determine the order of the matrix. [ [ 9 5 7 -4 -4 1 ] ]
Transcript text: Determine the order of the matrix. \[ \left[\begin{array}{rrr} 9 & 5 & 7 \\ -4 & -4 & 1 \end{array}\right] \]
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Solution

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Solution Steps

Step 1: Identify the Dimensions of the Matrix

To determine the order of a matrix, we need to identify the number of rows and columns it contains. The given matrix is:

\[ \left[\begin{array}{rrr} 9 & 5 & 7 \\ -4 & -4 & 1 \end{array}\right] \]

Step 2: Count the Rows

Count the number of horizontal lines of elements. In this matrix, there are 2 rows.

Step 3: Count the Columns

Count the number of vertical lines of elements. In this matrix, there are 3 columns.

Final Answer

The order of the matrix is given by the number of rows by the number of columns. Therefore, the order of the matrix is:

\[ \boxed{2 \times 3} \]

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