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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 9: Q. 10 (page 627)

In Problems $7 - 14$ , find the value of each determinant.
$|\begin{matrix} - 4 & 0 \\ 5 & 3 \end{matrix}|$

Short Answer

Expert verified

The value of the determinant $|\begin{matrix} - 4 & 0 \\ 5 & 3 \end{matrix}|$ is, $- 12$ .

Step by step solution

01

Step 1 Given determinant is,

$|\begin{matrix} - 4 & 0 \\ 5 & 3 \end{matrix}|$ .

Evaluate the determinant.

$|\begin{matrix} - 4 & 0 \\ 5 & 3 \end{matrix}| = (- 4) (3) - 5 (0)$

02

Step 2 Now simplify it.

$|\begin{matrix} - 4 & 0 \\ 5 & 3 \end{matrix}| = - 12 - 0 = - 12$

Thus, the value of the determinant $|\begin{matrix} - 4 & 0 \\ 5 & 3 \end{matrix}|$ is, $- 12$ .

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