Let T be a linear opera10r on n" and l3 = {b 1, b2 . . ..
Chapter , Problem 99(choose chapter or problem)
Let T be a linear opera10r on n" and l3 = {b 1, b2 . . .. b, } be a basis for n". Prove that [T]6 is an upper triangular matrix (see the definition given in Exercise 6 1 of Section 2. 1) if ;md only if T(b1) is a lincm combination of b 1 .... , b1 foreveryj. I -:;;j '5;11 .
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