Let A be an 20 x 20 matrix with 20 pivots. a. Does Ax = 0 have a nontrivial solution? Defend your response. Your work should be legible, and all your logic should be clear and justified. Edit Insert Formats BI U ×₂ײ A A = = = EBC D E COR Σ+ Σ Α b. Does Ax = have at least one solution for each 6 R20? Defend your response. Your work should be legible, and all your logic should be clear and justified.

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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plz do not use topics like rank, vector spaces, subspaces, column spaces, etc. or their associated theory to defend the answer

Let A be an 20 x 20 matrix with 20 pivots.
a. Does Ax = 0 have a nontrivial solution? Defend your response. Your work should be legible,
and all your logic should be clear and justified.
Edit Insert ▾ Formats
====
BIU X₂ X² A A <>
e
M
用V Σ+ Σ Α
b. Does Ax = 6 have at least one solution for each b
R20? Defend your response. Your work
E
should be legible, and all your logic should be clear and justified.
Transcribed Image Text:Let A be an 20 x 20 matrix with 20 pivots. a. Does Ax = 0 have a nontrivial solution? Defend your response. Your work should be legible, and all your logic should be clear and justified. Edit Insert ▾ Formats ==== BIU X₂ X² A A <> e M 用V Σ+ Σ Α b. Does Ax = 6 have at least one solution for each b R20? Defend your response. Your work E should be legible, and all your logic should be clear and justified.
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