Chapter 11: Q. 14 (page 795)

solve each system of equations using matrices.
If the system has no solution, say that it is inconsistent.
$x + \frac{1}{4} y = 7 8 x + 2 y = 56$

Short Answer

Expert verified

The given equation is inconsistent therefore no solution exists.

Step by step solution

Step 1. Given

$x + \frac{1}{4} y = 7 8 x + 2 y = 56$

Step 2. Calculation

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

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solve each system of equations using matrices.
If the system has no solution, say that it is inconsistent.
$x + \frac{1}{4} y = 7 8 x + 2 y = 56$

Short Answer

Step by step solution

Step 1. Given

Step 2. Calculation

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solve each system of equations using matrices.If the system has no solution, say that it is inconsistent.x+14y=78x+2y=56

Short Answer

Step by step solution

Step 1. Given

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Mechanics Maths

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

solve each system of equations using matrices.
If the system has no solution, say that it is inconsistent.
$x + \frac{1}{4} y = 7 8 x + 2 y = 56$