Question: For each map, give the chain of range spaces and the chain of null spaces, and the generalized range space and the generalized null space.
For each map, give the chain of range spaces and the chain of null spaces, and the generalized range space and the generalized null space.
(a) t0: P2 †’ P2, a + bx + cx2 †” b + cx2
(b) t1: R2 †’ R2,
-1.png)
(a) t0: P2 †’ P2, a + bx + cx2 †” b + cx2
(b) t1: R2 †’ R2,
(c) t2 : P2 †’ P2, a + bx + cx2 †” b + cx + ax2
d) t3: R3 †’ R3,
-2.png)
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a Iterating t 0 twice a bx cx 2 b cx 2 cx 2 gives and any higher power is the same map Thus while Rt ... View full answer
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