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Suppose Ak,., A2 , A1 and B are points on R" Prove that if {A1 , A2, .. Ak} is an independent linear set and {A, +B, A2,.. A} is a linear dependent set, then {A1- B, A2,. A} is an independent linear set. ....

Suppose Ak,., A2 , A1 and B are points on R" Prove that if {A1 , A2, .. Ak} is an independent linear set and {A, +B, A2,.. A} is a linear dependent set, then {A1- B, A2,. A} is an independent linear set. ....

Advanced Engineering Mathematics
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 Ak, ., A2 , A1 and B are points on R" Prove that if {A,, A2,.. AR} is an independent linear set and {A, + B, A2, ... Ag} is a linear dependent set, then {A1 - B, A2,. Ak} is an independent linear set.
Transcribed Image Text:Suppose Ak, ., A2 , A1 and B are points on R" Prove that if {A,, A2,.. AR} is an independent linear set and {A, + B, A2, ... Ag} is a linear dependent set, then {A1 - B, A2,. Ak} is an independent linear set.
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