Use the cofactor expansion to compute the following determinant: -19-9 det 1 3 -7 = 0 -1 5-6

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Cofactor Expansion to Compute Determinant**

Use the cofactor expansion to compute the following determinant:

\[
\text{det} \begin{bmatrix} 
-1 & 9 & -9 \\ 
1 & 3 & -7 \\ 
-1 & 5 & -6 
\end{bmatrix} = 0
\]

**Explanation:**

This image shows a 3x3 matrix, and the task is to use cofactor expansion to find its determinant. The determinant is indicated to be zero. Cofactor expansion involves selecting a row or column and using its elements to calculate the determinant by expanding with minors and cofactors.
Transcribed Image Text:**Cofactor Expansion to Compute Determinant** Use the cofactor expansion to compute the following determinant: \[ \text{det} \begin{bmatrix} -1 & 9 & -9 \\ 1 & 3 & -7 \\ -1 & 5 & -6 \end{bmatrix} = 0 \] **Explanation:** This image shows a 3x3 matrix, and the task is to use cofactor expansion to find its determinant. The determinant is indicated to be zero. Cofactor expansion involves selecting a row or column and using its elements to calculate the determinant by expanding with minors and cofactors.
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