Let [o 0 0 1] 0 0 0 0 1 0 0 0 0] 0 0 |0 0 0 0 [4 0 1 1 1 -1 1 -1 1 -1 -1 1 A = 0 2 1 1 (1/2) 1 -1 |0 0 1 0 |0 0 0 0 1 Use what you know about SVD's to answer the following with as little calculation as possible. Explain how you got your answer. If you calculate this product and then answer the questions without using the provided factorization you're wasting your time (and won't get many points); you'd be better off reviewing the materials on SVD's. 1. What is the rank of A? 2. Find a basis for Col A. 3. Find a basis for Null A.

Let [o 0 0 1] 0 0 0 0 1 0 0 0 0] 0 0 |0 0 0 0 [4 0 1 1 1 -1 1 -1 1 -1 -1 1 A = 0 2 1 1 (1/2) 1 -1 |0 0 1 0 |0 0 0 0 1 Use what you know about SVD's to answer the following with as little calculation as possible. Explain how you got your answer. If you calculate this product and then answer the questions without using the provided factorization you're wasting your time (and won't get many points); you'd be better off reviewing the materials on SVD's. 1. What is the rank of A? 2. Find a basis for Col A. 3. Find a basis for Null A.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.2: Remainder And Factor Theorems

Problem 53PS

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