Use Gauss-Jordan row reduction to solve the given system of equations.0.5x + 0.1y = 1.70.1x – 0.1y = 0.311r + y =3No Solutionㅇ(3, )10(4 })1013о (3, 2)

Given system of equation 0.5x+0.1y=1.70.1x−0.1y=0.3x+y=113.......1 Write it in matrix form Ax=b…

Answered: Use Gauss-Jordan row reduction to solve…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Question

Use Gauss-Jordan row reduction to solve the given system of equations.
0.5x + 0.1y = 1.7
0.1x – 0.1y = 0.3
11
r + y =
3
No Solution
ㅇ(3, )
10
(4 })
10
1
3
о (3, 2)

Expert Solution

Step 1

Given system of equation

$\begin{matrix} 0.5 x + 0.1 y = 1.7 \\ 0.1 x - 0.1 y = 0.3 \\ x + y = \frac{11}{3} \end{matrix}\} ....... (1)$

Write it in matrix form $A x = b$

$[\begin{matrix} 0.5 & 0.1 \\ 0.1 & - 0.1 \\ 1 & 1 \end{matrix}] [\begin{matrix} x \\ y \end{matrix}] = [\begin{matrix} 1.7 \\ 0.3 \\ \frac{11}{3} \end{matrix}]$

Now write augmented matrix

$(A | b) = [\begin{matrix} 0.5 & 0.1 & 1.7 \\ 0.1 & - 0.1 & 0.3 \\ 1 & 1 & \frac{11}{3} \end{matrix}]$

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Matrix Factorization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions