Suppose the factorization below is an SVD of a matrix A, with the entries in U and V rounded to two decimal places. .40 -.78 .47 7.10 A = .37 -.33 -.87 3.10 -.84 -.52 -.16 .30 -.51 –.81 .76 .64 -.12 .58 -.58 .58 a. What is the rank of A? b. Use this decomposition of A, with no calculations, to write a basis for Col A and a basis for Nul A. [Hint: First write the columns of V.]
Suppose the factorization below is an SVD of a matrix A, with the entries in U and V rounded to two decimal places. .40 -.78 .47 7.10 A = .37 -.33 -.87 3.10 -.84 -.52 -.16 .30 -.51 –.81 .76 .64 -.12 .58 -.58 .58 a. What is the rank of A? b. Use this decomposition of A, with no calculations, to write a basis for Col A and a basis for Nul A. [Hint: First write the columns of V.]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Suppose the factorization below is an SVD of a matrix A, with the entries in U and V rounded to two decimal places.
.40 -.78
.47
7.10
A =
.37 -.33 -.87
3.10
-.84 -.52 -.16
.30 -.51 –.81
.76
.64 -.12
.58 -.58
.58
a. What is the rank of A?
b. Use this decomposition of A, with no calculations, to write a basis for Col A and a basis for Nul A. [Hint: First write the
columns of V.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F348d7cb8-d08e-4bc9-8227-6b4a83b0390f%2F33bed56a-e1b5-43d3-ade4-5bb71507928f%2Fkkzrcke.png&w=3840&q=75)
Transcribed Image Text:Suppose the factorization below is an SVD of a matrix A, with the entries in U and V rounded to two decimal places.
.40 -.78
.47
7.10
A =
.37 -.33 -.87
3.10
-.84 -.52 -.16
.30 -.51 –.81
.76
.64 -.12
.58 -.58
.58
a. What is the rank of A?
b. Use this decomposition of A, with no calculations, to write a basis for Col A and a basis for Nul A. [Hint: First write the
columns of V.]
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