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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 11: Q. 10 (page 740)

Find the value of the determinant.
$|\begin{matrix} - 4 & 2 \\ - 5 & 3 \end{matrix}|$

Short Answer

Expert verified

$|\begin{matrix} - 4 & 2 \\ - 5 & 3 \end{matrix}| = - 2$

Step by step solution

Step 1. Given information

We have been given:

$|\begin{matrix} - 4 & 2 \\ - 5 & 3 \end{matrix}|$

We have to find the value of this determinant.

Step 2. Use formula D=abcd=a⋅d-c⋅b.

$|\begin{matrix} - 4 & 2 \\ - 5 & 3 \end{matrix}| = - 4 脳 3 - (- 5) 脳 2 = - 12 + 10 = - 2$

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Most popular questions from this chapter

Verify that the values of the variables listed are solutions of the system of equations.

$\{\begin{matrix} \begin{array}{rcl} 3 x + 3 y + 2 z & = & 4 \\ x - y - z & = & 0 \end{array} \\ 2 y - 3 z = - 8 \end{matrix} x = 1, y = - 1, z = 2; (1, - 1, 2)$

Graph the equation: $x^{2} + 4 y^{2} = 4$

The difference of two numbers is the same as their product, and the sum of their reciprocals is $5$ . Find the numbers.

Solve each system of equations. If the system has no solution, say that it is inconsistent.

$\{\begin{matrix} 2 x + y = 1 \\ 4 x + 2 y = 3 \end{matrix}$

Solve each system of equations. If the system has no solution, say that it is inconsistent.

$\{\begin{cases} x + y = 8 \\ x - y = 4 \end{cases}$

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Find the value of the determinant.-42-53

Short Answer

Step by step solution

Step 1. Given information

Step 2. Use formula D=abcd=a⋅d-c⋅b.

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Find the value of the determinant.
$|\begin{matrix} - 4 & 2 \\ - 5 & 3 \end{matrix}|$