Solve the following system of simultaneous equations by the Gauss-Jordan method. −12 x 1 − 3 x 2 + 6 x 3 = 45 5 x 1 + 2 x 2 − 4 x 3 = −9 10 x 1 + x 2 − 7 x 3 = −32

Question

Still sussing out bartleby?

Answer 1

BuyFind

Structural Analysis

6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Solutions

Chapter

Section

Answer 2

BuyFind

Structural Analysis

6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Solutions

Chapter

Section

Answer 3

Solutions

Chapter

Section

Answer 4

Chapter

Section

Answer 5

To determine

Use the Gauss Jordan method to solve the simultaneous equations.

Explanation of Solution

Given information:

−12x1−3x2+6x3=45 5x1+2x2−4x3=−9 10x1+ x2−7x3=−32

Calculation:

Write the system in the matrix form:

Ax=P[−12−3652−4101−7][x1x12x3]=[45−9−32]

Write the augmented matrix:

[−12−3652−4101−7|45−9−32]

Divide the first row by −12.

[114−1252−4101−7|−154−9−32]

In the second row, subtract the first row multiplied with 5 from second row.

[114−1252−4101−7|−154−9−32]R2→R2−5R1[114−125−5(1)2−5(14)−4−5(−12)101−7|−154−9−5(−154)−32][114−12034−32101−7|−154394−32]

In the third row, subtract the first row multiplied with 10 from third row.

[114−12034−32101−7|−154394−32]R3→R3−10R1[114−12034−3210−10×(1)1−10×(14)−7−10×(−12)|−154394−32−10×(−154)][114−12034−320−32−2|−154394112]

Divide the second row by 3/4.

[114−1201−20−32−2|−15413112]

In the first row, subtract the second row multiplied with 14 from first row

Solve the following system of simultaneous equations by the Gauss-Jordan method. −12 x 1 − 3 x 2 + 6 x 3 = 45 5 x 1 + 2 x 2 − 4 x 3 = −9 10 x 1 + x 2 − 7 x 3 = −32

Structural Analysis

Solutions

Structural Analysis

Solve the following system of simultaneous equations by the Gauss-Jordan method.

−12x₁ − 3x₂ + 6x₃ = 45

5x₁ + 2x₂ − 4x₃ = −9

10x₁ + x₂ − 7x₃ = −32

Explanation of Solution

Still sussing out bartleby?

The Solution to Your Study Problems

Chapter B Solutions

Additional Engineering Textbook Solutions

Solve the following system of simultaneous equations by the Gauss-Jordan method. −12 x 1 − 3 x 2 + 6 x 3 = 45 5 x 1 + 2 x 2 − 4 x 3 = −9 10 x 1 + x 2 − 7 x 3 = −32

Structural Analysis

Solutions

Structural Analysis