In each case, show that U is T-invariant, use it to find a block upper triangular matrix
Question:
(a) T: P2 → P2, T{a + bx + cx2) = (-a + 2b + c) + (a + 3b + c)x + {a + 4b)x2, U = span{l, x + .v}
(b) T : P2 → P2, T{a + bx + cx2) = (5a - 2b + c)
+ (5a - b + c)x + {a + 2c)x2,
U = span(l - 2x2, x + x-2)
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b We have U span 1 2x 2 x x 2 To show that U is Tinvar...View the full answer
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