Let A: R3 → R3 be the operator given by A(x1,x2,x3) := (2x1,πx2,3x3) (a) Show that A is a bounded linear operator. (b) Calculate the operator norm of A.

匿名用户 最后更新于 2021-12-01 19:07 数学类Mathematics

Let A: R3 → R3 be the operator given by

A(x1,x2,x3) := (2x1,πx2,3x3)

(a) Show that A is a bounded linear operator.

(b) Calculate the operator norm of A.

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