1.
(a) F
(b) T
(c) F
(d) F
(e) T
(f) T
(g) T
2. The subspaces in (a), (c), and (d) are T-invariant.
6.
(a) ⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎛⎝⎜⎜⎜1000⎞⎠⎟⎟⎟, ⎛⎝⎜⎜⎜1011⎞⎠⎟⎟⎟, ⎛⎝⎜⎜⎜1−122⎞⎠⎟⎟⎟⎫⎭⎬⎪⎪⎪⎪⎪⎪⎪⎪
(c) {(0110)}
9.
(a) −t(t2−3t+3)
(c) 1−t
10.
(a) t(t−1)(t2−3t+3)
(c) (t−1)3(t+1)
18.
(c) A−1=12⎛⎝⎜200−210−43−2⎞⎠⎟
31.
(a) t2−6t+6
(c) −(t+1)(t2−6t+6)
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