• :00Days
  • :00Hours
  • :00Mins
  • 00Seconds
A new era for learning is coming soonSign up for free
Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Linear Algebra With Applications
Found in: Page 411
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

Answers without the blur.

Just sign up for free and you're in.


Short Answer

Find the singular values of A=[100-2].

The singular values of A are σ1=2 and σ2=1

See the step by step solution

Step by Step Solution

Step 1 of 2: Given information

It is given that A=100-2

By computing the eigenvalues of the square matrix, the singular values of A are found


Then, x|2-A1A=x-100x-4

Step 2 of 2: Find the singular value

Let the characteristic of polynomial A1A be px



Therefore, the characteristic polynomial is x-1x-4, which implies that the roots of px are 1,4 .

So, the eigenvalues of AtA are λ1=4 and λ2=1

Thus the singular values of A are σ1=4=2 and σ2=1=1

Result: σ1=2 and σ2=1are the singular values of A.

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.