5. Show that if S = {v1,V2, .... } is a basic for the space vector V and c is a non-zero....... .scalar, then span(S)={cv1,cv2cvn} is also a basic for V..........

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Answered: 5. Show that if S = {v1,V2, .. .} is a…

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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5. Show that if S = {v1,V2, .. .} is a basic for the space vector V and c is a non-zero ... ... ... scalar, then span(S)={cv1,cv2 cvn} is also a basic for V. ... ......