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Roblox application center 2020online matrix LU decomposition calculator, find the upper and lower triangular matrix by factorization

Since A 2 = A, we know that for a matrix , a = a 2 + bc. b = ab + bd, so b – ab – bd = 0 and b (1 – a – d) = 0 and either b = 0 or d = 1 – a. c = ca + cd, so c – ca – cd = 0 and c (1 – a – d) = 0 and either c = 0 or d = 1 – a. d = bc + d 2. To come up with your own idempotent matrix, start by choosing any value of a.