IITM BS Question 31 - Week 7 Practice

Prasnya

IITM BS Question 31 - Week 7 Practice | Prasnya

00:00

Q31Multiple correct3 Marks2 Apr 2023

An inner product on

V

satisfies positive-definiteness, additivity, symmetry, and homogeneity. Let

V=\mathbb{R}^2

and define

\langle(x_1,x_2),(y_1,y_2)\rangle=x_1y_1-x_1y_2+x_2y_2

. Which conditions are satisfied?

Q31

00:00

2 Apr 2023

Mathematics 2 · Week 7

Q31.An inner product on

V

satisfies positive-definiteness, additivity, symmetry, and homogeneity. Let

V=\mathbb{R}^2

and define

\langle(x_1,x_2),(y_1,y_2)\rangle=x_1y_1-x_1y_2+x_2y_2

. Which conditions are satisfied?

Save

Check

Details