Algebra and Trigonometry (6th Edition)
6th Edition
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,...
Related questions
Question
![**Question 3**
Find the determinant of the system:
\[
\begin{vmatrix}
-5 & 8 \\
4 & -3
\end{vmatrix}
\]
To calculate the determinant of a 2x2 matrix:
Determinant = (ad - bc)
where:
\[ a = -5, \quad b = 8, \quad c = 4, \quad d = -3 \]
Plug in the values to compute the determinant:
\[
\text{Determinant} = (-5)(-3) - (8)(4) = 15 - 32 = -17
\]
Therefore, the determinant of the matrix is -17.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb60b9619-24ed-498e-913b-12564ee6fa56%2Ff2e50dbc-3060-44a5-ae74-a702b4c93232%2Ferzdgb9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 3**
Find the determinant of the system:
\[
\begin{vmatrix}
-5 & 8 \\
4 & -3
\end{vmatrix}
\]
To calculate the determinant of a 2x2 matrix:
Determinant = (ad - bc)
where:
\[ a = -5, \quad b = 8, \quad c = 4, \quad d = -3 \]
Plug in the values to compute the determinant:
\[
\text{Determinant} = (-5)(-3) - (8)(4) = 15 - 32 = -17
\]
Therefore, the determinant of the matrix is -17.
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