Find all x in R4 that are mapped into the zero vector by the transformation x→Ax for the given matrix A. 1 -5 12 -9 A = 0 1 -4 3 2-8 16-12 Select the correct choice below and fill in the answer box(es) to complete your choice. A. There is only one vector, which is x = OB. x₁ OC. X3 O D. X3 + X₂ +X4 +X4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find all x in R4 that are mapped into the zero vector by the transformation x+Ax for the given matrix A.
1
A = 0
5 12 9
1
4
3
2 -8 16 - 12
Select the correct choice below and fill in the answer box(es) to complete your choice.
OA. There is only one vector, which is x =
+ X₂ + X4
B.
-
C.
O D.
X₁
X3
X3
+ XA
Transcribed Image Text:Find all x in R4 that are mapped into the zero vector by the transformation x+Ax for the given matrix A. 1 A = 0 5 12 9 1 4 3 2 -8 16 - 12 Select the correct choice below and fill in the answer box(es) to complete your choice. OA. There is only one vector, which is x = + X₂ + X4 B. - C. O D. X₁ X3 X3 + XA
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