Question

Justify whether the following sets form subspaces of the vector space R 3 : • (1 point) A := {(x1, x2, x3): x1 = x2 = x3}. • (1 point) B := {(x1, x2, x3): x1 + x3 = 1}. • (1 point) C := {(x1, x2, x3): x1 + x2 + x3 ≥ 0}.

Answer 1

Answer:

Answer for below mentioned question "

Justify whether the following sets form subspaces of the vector space R 3 : • (1 point) A := {(x1, x2, x3): x1 = x2 = x3}. • (1 point) B := {(x1, x2, x3): x1 + x3 = 1}. • (1 point) C := {(x1, x2, x3): x1 + x2 + x3 ≥ 0}."

is explained in attachment.

Explanation: