.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
.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
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![.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-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc19ad20b-12df-4c1a-a3e4-3bd5b251a181%2F4e0fd330-d1a2-42d7-abbd-e80ef1f24704%2Finh3009_processed.png&w=3840&q=75)
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-
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