4. Find the determinant by expanding 3 01 1 1 2 2 -1 3 0 (a) on the first row (b) on the second row (c) on the third column

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**4. Find the determinant by expanding**

\[
\begin{vmatrix}
3 & 0 & 1 \\
1 & 2 & 2 \\
-1 & 3 & 0 \\
\end{vmatrix}
\]

(a) on the first row  
(b) on the second row  
(c) on the third column

**Explanation:**

This problem involves calculating the determinant of a 3x3 matrix. You need to find the determinant by expanding along different rows or a column as specified:

- **(a)** Use the elements of the first row [3, 0, 1] to expand.
- **(b)** Use the elements of the second row [1, 2, 2] to expand.
- **(c)** Use the elements of the third column [1, 2, 0] to expand.
Transcribed Image Text:**4. Find the determinant by expanding** \[ \begin{vmatrix} 3 & 0 & 1 \\ 1 & 2 & 2 \\ -1 & 3 & 0 \\ \end{vmatrix} \] (a) on the first row (b) on the second row (c) on the third column **Explanation:** This problem involves calculating the determinant of a 3x3 matrix. You need to find the determinant by expanding along different rows or a column as specified: - **(a)** Use the elements of the first row [3, 0, 1] to expand. - **(b)** Use the elements of the second row [1, 2, 2] to expand. - **(c)** Use the elements of the third column [1, 2, 0] to expand.
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