.6 Let A = [a¡] E M, have rank r 2 1 and let A = VEW* be a singular value decomposition in which £ = diag(ơ1, 02, . . . , and W = [W¡] are in M„. Show that each entry of A can be represented as aij = Ei=1 OkVikWjk- On), V = [vij], %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

kindly solve this question teacher

.6 Let A = [a;] E M, have rank r 2 1 and let A = VEW* be a singular
value decomposition in which = diag(ơj, 02, ..., on), V = [vij],
and W = [Wi] are in M,. Show that each entry of A can be
represented as aij = Ei=1 OkVikWjk-
Transcribed Image Text:.6 Let A = [a;] E M, have rank r 2 1 and let A = VEW* be a singular value decomposition in which = diag(ơj, 02, ..., on), V = [vij], and W = [Wi] are in M,. Show that each entry of A can be represented as aij = Ei=1 OkVikWjk-
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,