Determine the order of the matrix. 5 1 4 What is the order of the matrix? X

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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**Math 102 – College Algebra (Summer 2022) Section 11**

**Homework: Section 6.3 - Matrices and Systems of Equations**

---

**Determine the order of the matrix.**

\[
\begin{pmatrix}
5 \\
1 \\
-4 \\
\end{pmatrix}
\]

**What is the order of the matrix?**

\[\boxed{~ \times ~}\]

---

**Options:**

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---

### Explanation:

In this section, you are asked to determine the order of a given matrix. The matrix presented is a column matrix consisting of the elements 5, 1, and -4 arranged in a single column:

\[
\begin{pmatrix}
5 \\
1 \\
-4 \\
\end{pmatrix}
\]

The "order" of a matrix refers to its dimensions, which are given as the number of rows by the number of columns. In this particular case, the matrix has 3 rows and 1 column.

Therefore, the order of the matrix is \(3 \times 1\).
Transcribed Image Text:**Math 102 – College Algebra (Summer 2022) Section 11** **Homework: Section 6.3 - Matrices and Systems of Equations** --- **Determine the order of the matrix.** \[ \begin{pmatrix} 5 \\ 1 \\ -4 \\ \end{pmatrix} \] **What is the order of the matrix?** \[\boxed{~ \times ~}\] --- **Options:** - Help me solve this - View an example - Get more help --- ### Explanation: In this section, you are asked to determine the order of a given matrix. The matrix presented is a column matrix consisting of the elements 5, 1, and -4 arranged in a single column: \[ \begin{pmatrix} 5 \\ 1 \\ -4 \\ \end{pmatrix} \] The "order" of a matrix refers to its dimensions, which are given as the number of rows by the number of columns. In this particular case, the matrix has 3 rows and 1 column. Therefore, the order of the matrix is \(3 \times 1\).
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