Section 2.3:Number 15
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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Section 2.3:Number 15
Transcribed Image Text:15. Let A and B be matrices for which the product matrix AB is defined,
and let U j and Vj denote the jth columns of AB and B, respectively. If
Up = C₁V₁₁ + C₂V₁2 + +CkUjk for some scalars C₁, C2,... Ck, prove that
Uji
...
Up = C₁ Uj₁ + C₂U j₂ +
... + Cku jk
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