Find the inverse, if it exists, for the given matrix. 2 0 5 0 -1 0 3 3 7
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 19CT
Related questions
Question
Find the inverse, if it exists, for the given matrix.
2 | 0 | 5 |
0 | -1 | 0 |
3 | 3 | 7 |
Expert Solution
Step 1
According to the given information it is required to calculate the inverse of the given matrix.
Step 2
Inverse of a matrix exist if and only if determinant is non zero.
So, first find the determinant of the matrix A.
Step 3
Now, find the A-1.
consider the augmented matrix:
Step 4
Now, convert the matrix into identity by doing the operations:
Step by step
Solved in 7 steps with 7 images
Knowledge Booster
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
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning