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

Step 1. Given

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

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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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

Step by step solution

Step 1. Given

Step 2. Explanation

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solve each system of equations using matrices.If the system has no solution, say that it is inconsistent.2x+2y-3z=5x-y+2z=83x+5y-8z=-2

Short Answer

Step by step solution

Step 1. Given

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Logic and Functions

Calculus

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

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