Suppose T 2 L.R3/ has an upper-triangular matrix with respect tothe basis .1; 0; 0/, (1

Chapter 6, Problem 3

(choose chapter or problem)

Suppose T 2 L.R3/ has an upper-triangular matrix with respect tothe basis .1; 0; 0/, (1, 1, 1), .1; 1; 2/. Find an orthonormal basis of R3(use the usual inner product on R3) with respect to which T has anupper-triangular matrix.

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