16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 9.2.2

Operators on Inner Product Spaces

Mathematics — Linear Algebra · matrix-of-a-form

Problem

Let

f

be the form on

R^2

defined by

f((x_1, y_1), (x_2, y_2)) = x_1 y_1 + x_2 y_2.

Find the matrix of

f

in each of the following bases:

\{(1, 0), (0, 1)\}, \quad \{(1, -1), (1, 1)\}, \quad \{(1, 2), (3, 4)\}.