Seja T: R4 → R¹ uma transformação linear dada por Qual dos seguintes subespaços é igual a imagem de I? Escolha uma opção: a. O b. O c. d. e. T(a, b, c, d) = (b + 2c 2d, −2a − 2b + 2c, a + b -c, - b + 2c 2d). Im(T) = {(a, b, c, d) € R4; - 2a - b - d = 0} Im(7) = [(0, 2, 1, 0)] Im(T) = {(a, b, c, d) € R¹; b + 2c = 0, -a +d=0} Im(T) = R4 Im(7) = [(1, 1, − 1, − 2), (-2,-1, 0, -1)] -
Seja T: R4 → R¹ uma transformação linear dada por Qual dos seguintes subespaços é igual a imagem de I? Escolha uma opção: a. O b. O c. d. e. T(a, b, c, d) = (b + 2c 2d, −2a − 2b + 2c, a + b -c, - b + 2c 2d). Im(T) = {(a, b, c, d) € R4; - 2a - b - d = 0} Im(7) = [(0, 2, 1, 0)] Im(T) = {(a, b, c, d) € R¹; b + 2c = 0, -a +d=0} Im(T) = R4 Im(7) = [(1, 1, − 1, − 2), (-2,-1, 0, -1)] -
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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translated text:
Being ___ a linear transformation given by:
Wich of the subsequents subspaces is equal to T image?
![va
Seja T:R4 → Rªuma transformação linear dada por
Qual dos seguintes subespaços é igual a imagem de I?
Escolha uma opção:
a.
O
b.
O d.
ai
-
T(a, b, c, d) = (b + 2c 2d, −2a − 2b + 2c, a + b -c, - b + 2c 2d).
Im(T) = {(a, b, c, d) € R4; - 2a - b - d = 0}
Im(7) = [(0, 2, 1, 0)]
Im(7) = {(a, b, c, d) € R¹; b + 2c = 0, − a +d=0}
Im(7) = R4
-
Im(7) = [(1, 1, − 1, − 2), (-2, -1, 0, -1)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28444bb0-07f5-48bb-aa15-15291d4d4283%2F867989e0-1e83-4201-a9c1-09e160aa7ee8%2Fjf25ujw_processed.png&w=3840&q=75)
Transcribed Image Text:va
Seja T:R4 → Rªuma transformação linear dada por
Qual dos seguintes subespaços é igual a imagem de I?
Escolha uma opção:
a.
O
b.
O d.
ai
-
T(a, b, c, d) = (b + 2c 2d, −2a − 2b + 2c, a + b -c, - b + 2c 2d).
Im(T) = {(a, b, c, d) € R4; - 2a - b - d = 0}
Im(7) = [(0, 2, 1, 0)]
Im(7) = {(a, b, c, d) € R¹; b + 2c = 0, − a +d=0}
Im(7) = R4
-
Im(7) = [(1, 1, − 1, − 2), (-2, -1, 0, -1)]
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