Kunze Linear Algebra · Problem 6.7.5

Elementary Canonical Forms

Mathematics — Methods · lagrange-polynomials-diagonalizable

Problem

Let TT be the diagonalizable linear operator on R3R^3 which we discussed in Example 3 of Section 6.2. Use the Lagrange polynomials to write the representing matrix AA in the form A=E1+2E2A = E_1 + 2E_2, E1+E2=IE_1 + E_2 = I, E1E2=0E_1 E_2 = 0.

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