Advanced Math Archive: Questions from July 09, 2023
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Demuestre que los siguientes vectores son linealmente
independientes (sobre C o R).
(a) (1,1,1) y (0,1, -2)
(b) (pi,0) y (0,1) (f) (1,2) y (1, 3)
(c) (1, 1, 0), (1, 1, 1) y (0, 1, -1)
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Determinar si la transformación de V a W es lineal:
1._ T: R2 → R2; T (x, y) = (0, -y) .
2._ T: R3 → R3; T (w, y, z) = (1, y, z)
3._ T: R3 → R3; T (x, y, z,) = (y, z, 1)
4._ T: R2 → R; T (x,
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