Question: Please Show all your work Exercise 3: Consider the following three sets: C 2 S1 := : x1 +42+23 = 0 and x1 - 22

Please Show all your work

Exercise 3: Consider the following three sets: C 2 S1 := : x1 +42+23 = 0 and x1 - 22 + 24 = 0 X 1 DC 2 S2 := : x1+22+23 = 2 and x1 + 22 + 24 = 0 DC 3 1 JC 2 83 := : X12 + 4 = 0 (1) Is S1 a linear subspace? If yes, find its dimension, if not explain why not. (2) Is $2 a linear subspace? If yes, find its dimension, if not explain why not. (3) Is $3 a linear subspace? If yes, find its dimension, if not explain why not

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