Find all x in R4 that are mapped into the zero vector by the transformation x→Ax for the given matrix A. 1 2 12 1 104-4 01 4 5 - 1 5 16 14 A = Select the correct choice below and fill in the answer box within your choice. OA. There is only one vector, which is x = OB. x₁ + X3 + X₁ + X₂ O C. D. X₁ C. X3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 2 12 1
104-4
01 4 5
- 1 5 16 14
A=
Select the correct choice below and fill in the answer box within your choice.
OA. There is only one vector, which is x =
OB. x₁
+X3
+ X₂
O C.
D.
X₁
X3
C...
+ X₁
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 2 12 1 104-4 01 4 5 - 1 5 16 14 A= Select the correct choice below and fill in the answer box within your choice. OA. There is only one vector, which is x = OB. x₁ +X3 + X₂ O C. D. X₁ X3 C... + X₁
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