Answer to Question #337162 in Linear Algebra for Ritu

Question

Let T be the linear operator on R? defined by

T(x, y) = (-y,×)

What is the matrix of T in the standard ordered basis for RZ?

What is the matrix of T in the ordered basis B = (a1, «2}, where a = (1,2) and

02 = (1, -1)?

Prove that for every real number c the operator (T

- cl) is invertible

Answer 1

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