4. Determine ij, iz and iz by using the Inverse Matrix Method.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
icon
Related questions
Question

Please solve the last branch of the question

3i3 + 3i1 – 5iz = 7.5
i2 – 7i3 + 2i1 =- 17.5
- 10iz + 4iz + 5i3 = 16
-
1. Write the above system of equations in the form A x = b, where A is a 3 by 3 matrix and x and
b are 3 by 1 vectors.
2. Find the determinant of A.
3. Determine i1, iz and iz by using Gaussian elimination.
4. Determine iį, iz and iz by using the Inverse Matrix Method.
Transcribed Image Text:3i3 + 3i1 – 5iz = 7.5 i2 – 7i3 + 2i1 =- 17.5 - 10iz + 4iz + 5i3 = 16 - 1. Write the above system of equations in the form A x = b, where A is a 3 by 3 matrix and x and b are 3 by 1 vectors. 2. Find the determinant of A. 3. Determine i1, iz and iz by using Gaussian elimination. 4. Determine iį, iz and iz by using the Inverse Matrix Method.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Paths and Circuits
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.
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning