Homework Help is Here – Start Your Trial Now!
Math
Algebra
-2 Let A = 12 8 Find a matrix S, a diagonal matrix D and S-¹ such that A = SDS-¹ S = D = ||---||

-2 Let A = 12 8 Find a matrix S, a diagonal matrix D and S-¹ such that A = SDS-¹ S = D = ||---||

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question
Let \( A = \begin{bmatrix} -2 & -2 \\ 12 & 8 \end{bmatrix} \). Find a matrix \( S \), a diagonal matrix \( D \), and \( S^{-1} \) such that \( A = SDS^{-1} \). \[ S = \begin{bmatrix} \, & \, \\ \, & \, \end{bmatrix}, \quad D = \begin{bmatrix} \, & \, \\ \, & \, \end{bmatrix}, \quad S^{-1} = \begin{bmatrix} \, & \, \\ \, & \, \end{bmatrix} \]
Transcribed Image Text:Let \( A = \begin{bmatrix} -2 & -2 \\ 12 & 8 \end{bmatrix} \). Find a matrix \( S \), a diagonal matrix \( D \), and \( S^{-1} \) such that \( A = SDS^{-1} \). \[ S = \begin{bmatrix} \, & \, \\ \, & \, \end{bmatrix}, \quad D = \begin{bmatrix} \, & \, \\ \, & \, \end{bmatrix}, \quad S^{-1} = \begin{bmatrix} \, & \, \\ \, & \, \end{bmatrix} \]
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS