If P= 1 1 2 4 is the matrix associated with a linear map_ƒ:R²→→R² then which of the following are eigenvectos of P? OD. OA. 2 3 O^ (3) Ara (³) and 2 B. d=4 and e=1 OC. 1 °C (-₂) ² (1) and 4 2 (1) and (²) 4 O E. 4 0 € (+2) and (-1)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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If P=
2
O A.
1 4
is the matrix associated with a linear
map f:R²
eigenvectos of P?
R²
R2 then which of the following are
2
3
^ (²) ² (²)
and
3
2
O E.
B. d = 4 and e=1
C.
0 (₂)-(1)
and
2
4
OD.
2
00: (1) and (3)
4
4
2) and (-₁)
-2
Transcribed Image Text:If P= 2 O A. 1 4 is the matrix associated with a linear map f:R² eigenvectos of P? R² R2 then which of the following are 2 3 ^ (²) ² (²) and 3 2 O E. B. d = 4 and e=1 C. 0 (₂)-(1) and 2 4 OD. 2 00: (1) and (3) 4 4 2) and (-₁) -2
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