16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 9.2.5

Operators on Inner Product Spaces

Mathematics — Linear Algebra · diagonalizing-forms

Problem

Let ff be the form on R2R^2 given by f((x1,x2),(y1,y2))=x1y1+4x2y2+2x1y2+2x2y1.f((x_1, x_2), (y_1, y_2)) = x_1 y_1 + 4x_2 y_2 + 2x_1 y_2 + 2x_2 y_1. Find an ordered basis in which ff is represented by a diagonal matrix.

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