https://nyu-ds1003.github.io/mlcourse/2021/exams/sp19/1003-Spring2019-Midterm-Solution.pdf?utm_source=chatgpt.com

Question

i didnt understood the ii. (1 point) Example at (1,1) and the condition 3. We cannot determine from the complementary slackness conditions whether or not the example is a support vector. 

Link: https://nyu-ds1003.github.io/mlcourse/2021/exams/sp19/1003-Spring2019-Midterm-Solution.pdf?utm_source=chatgpt.com

Ques no. 4-C

Answer 1

Look lets pick up 3 points.

Think Alpha as a Force against our Enemy in the Battlefield.

 A(2,4): Civilian

Think like this : A is very far from the Margin. A  Civilian safe at home ($y=4$) far from the Battlefield Zone.

Alpha: α=0(He is not giving any force to win the war).

Status: NOT a Support Vector

B (1, 1) : Frontline soldier.
B(1,1): lies exactly on the margin line. 
He is a Frontline soldier.
He is standing exactly on the border line (y=1).
May be he is fighting or may be just watching the Enemies. We are absolutely
not sure what exactly he is doing !!!
Alpha: Maybe 0, Maybe > 0.

Status: Undetermined

C (2, 0) :The Captured Prisoner

He has been captured by our enemy and behind the enemy lines(y =0).

Our army(SVM algorithm) is exerting The MAX FORCE possible to rescue him. 

Alpha: $\text{Max Value}$ (Definitely not zero). 

Status: DEFINITELY a Support Vector

I have tried to explain this using an informal example. You must not have any confusion after reading this !!!!

GOOD LUCK !!!

Fore a Similar Type Problem and Detailed Solution without Pen and Paper :

https://gateoverflow.in/460979/gate-da-2025-question-43?show=474719#a474719