Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Linear Algebra Bilinear Forms,Quadratic Forms

Consider the Quadratic forms

Q1 (x, y) = xy

Q2 (x, y) = x2 + 2xy + y2 

Q3 (x, y) = x2 + 3xy + 2y2 on ℝ2.

Choose the correct statements from below:

1
Q1 and Q2 are equivalent 
2
Q1 and Q3 are equivalent
3
Q2 and Q3 are equivalent 
4
all are equivalent 
5
Question Not Attempted
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