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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. 16 (page 795)

solve each system of equations using matrices.
If the system has no solution, say that it is inconsistent.
$2 x + 2 y - 3 z = 5 x - y + 2 z = 8 3 x + 5 y - 8 z = - 2$

Short Answer

Expert verified

The solution can't be determined as the given equation is singular.

Step by step solution

01

Step 1. Given

$2 x + 2 y - 3 z = 5 x - y + 2 z = 8 3 x + 5 y - 8 z = - 2$

02

Step 2. Explanation

$F o r a n e q u a t i o n A X = B w h e n w e f i n d A^{- 1} w e m u l t i p l y i t w i t h t h e c u r r e n t e x p r e s s i o n i . e . A^{- 1} A X = A^{- 1} B I X = A^{- 1} B X = A^{- 1} B S i n c e g i v e n m a t r i x i s \sin g u l a r t h u s t h e i n v e r s e c a n' t b e o b t a i n e d .$

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Most popular questions from this chapter

Graph each inequality by hand.

$y > x^{2} + 2$

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

$\{\begin{matrix} 2 x - y = 0 \\ 4 x + 2 y = 12 \end{matrix}$

Graph each inequality by hand.

$y 鈮� x^{2} - 1$

Graph the equation: $y^{2} = x^{2} - 1$

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

$\{\begin{matrix} x - y = 3 \\ - 3 x + y = 1 \end{matrix} x = - 2, y = - 5; (- 2, - 5)$

See all solutions

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