16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 6.7.6

Elementary Canonical Forms

Mathematics — Linear Algebra · spectral-decomposition-4x4

Problem

Let AA be the 4×44 \times 4 matrix in Example 5 of Section 6.3. Find matrices E1,E2,E3E_1, E_2, E_3 such that A=c1E1+c2E2+c3E3A = c_1 E_1 + c_2 E_2 + c_3 E_3, E1+E2+E3=IE_1 + E_2 + E_3 = I, and EiEj=0E_i E_j = 0, i≠ji \neq j.

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