A basis of the subspace W = {(a - 2b, b + c, a) | a, b, c € R} is: 

Select one: 

OB = {(1,0, –1), (-2,1,0), (0, 1, 0)} 

B = {(1,0, 1), (2, –1,0), (0, 1, 0)} 

B = {(1,0, 1), (2, 1,0), (0, 1, 0)} 

B = { (1,0,1), (–2, 1, 0), (0, 1, 0)}

The set W = e M (2, R): 2a - b = 0 , c + d = 0} is a subspace of M (2, R) 

Choose one; 

O True 

O False  

Transcribed Image Text:

Una base del subespacio W = {(a − 2b, b+c, a) | a, b, c = R} es: Seleccione una: O O O O B= {(1,0,−1), (-2, 1, 0), (0, 1, 0)} B = {(1, 0, 1), (2, -1,0), (0, 1, 0)} B = {(1, 0, 1), (2, 1, 0), (0, 1, 0)} B = {(1, 0, 1), (-2, 1, 0), (0, 1, 0)} El conjunto W = de M(2, R) Elija una; O Verdadero O Falso {(a b) = M (2, R) : 2a − b = 0,c+d=0} es un subespacio E Una base del subespacio W = {(a − 2b, b+c, a) | a, b, c = R} es: Seleccione una: O O O O B= {(1,0,−1), (-2, 1, 0), (0, 1, 0)} B = {(1, 0, 1), (2, -1,0), (0, 1, 0)} B = {(1, 0, 1), (2, 1, 0), (0, 1, 0)} B = {(1, 0, 1), (-2, 1, 0), (0, 1, 0)} El conjunto W = de M(2, R) Elija una; O Verdadero O Falso {(a b) = M (2, R) : 2a − b = 0,c+d=0} es un subespacio E