#6 Linear Algebra Sum(a) If 4 is an eigenvalue of a matrix A, then what is det (A - 41)?(b) Suppose T: R¹ R³ is an onto linear transformation. What is the dimension of-of T?Problem 6Use any method to find the inverse of the matrix A below:-2 1-6]A =041212 0 39Problem 7[1-10 3 -2]0 1 0 -4 7If A =0010 60000B) Find a basis for Nul Afor Col A

Answered: Image /qna-images/answer/3a72930f-65d3-4bd6-b178-3e681c905354.jpg

Answered: Problem 6 Use any method to find the…

Math

Calculus

Problem 6 Use any method to find the inverse of the matrix A below: -2 1-67 A = 4 0 12 12 0 39 Pakis

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CR: Review Exercises

Problem 68CR

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Question

#6 Linear Algebra

Sum
(a) If 4 is an eigenvalue of a matrix A, then what is det (A - 41)?
(b) Suppose T: R¹ R³ is an onto linear transformation. What is the dimension of
-
of T?
Problem 6
Use any method to find the inverse of the matrix A below:
-2 1-6]
A =
0
4
12
12 0 39
Problem 7
[1-10 3 -2]
0 1 0 -4 7
If A =
0010 6
0000
B) Find a basis for Nul A
for Col A

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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