the determinate

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,...
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**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.
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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