Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

For each matrix A below, describe the invariant subspaces for the induced linear operator T on F^2 that maps each v in F^2 to T(v) = Av. 

(a) row 1: 4, -1 ; row 2: 2, 1.

(b) row 1: 0, 1 ; row 2: -1, 0.

(c) row 1: 2, 3 ; row 2: 0, 2.

(d) row 1: 1, 0 ; row 2: 0, 0. 

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