16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 6.7.5

Elementary Canonical Forms

Mathematics — Linear Algebra · lagrange-interpolation-projections

Problem

Let

T

be the diagonalizable linear operator on

R^3

which we discussed in Example 3 of Section 6.2. Use the Lagrange polynomials to write the representing matrix

A

in the form

A = E_1 + 2E_2

E_1 + E_2 = I

E_1 E_2 = 0