Find the​ inverse, if it​ exists, for the given matrix. 2 0 5 0 -1 0 3 3 7

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 19CT
icon
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.

Advanced Math homework question answer, step 1, image 1

Step 2

Inverse of a matrix exist if and only if determinant is non zero.

So, first find the determinant of the matrix A.

Advanced Math homework question answer, step 2, image 1

Step 3

Now, find the A-1.

consider the augmented matrix:

Advanced Math homework question answer, step 3, image 1

Step 4

Now, convert the matrix into identity by doing the operations:

Advanced Math homework question answer, step 4, image 1

steps

Step by step

Solved in 7 steps with 7 images

Blurred answer
Knowledge Booster
Inverse of a Matrix
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
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning