Practice question

00:00Est. 3 min

Marks+3.000.00

Question

An inner product on a vector space

V

satisfies positive-definiteness, additivity in the first input, symmetry, and scalar homogeneity. Let

V=\mathbb{R}^2

and define

\langle (x_1,x_2),(y_1,y_2)\rangle=x_1y_1-x_2y_1-x_2y_2

. Which conditions are satisfied?

Multiple correctMedium Difficulty06 August 2023