Find all x in R4 that are mapped into the zero vector by the transformation x→Ax for the given matrix A. A = 128 - 1 102 -5 013 4 -248 14
Find all x in R4 that are mapped into the zero vector by the transformation x→Ax for the given matrix A. A = 128 - 1 102 -5 013 4 -248 14
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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Transcribed Image Text:Find all x in R4 that are mapped into the zero vector by the transformation xAx for the given
matrix A.
A =
O
128 -1
O
1 02-5
Select the correct choice below and fill in the answer box within your choice.
013
4
- 2 4 8 14
A. There is only one vector, which is x =
B. X3
C. X₁
D. X₁
+ X3
+ X₂
+ X4
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