is a subspace of V. 2. Let f : V → W be a homomorphism. Show that if the set S = {v1, 02, . . . , Un} CV is linearly dependent, then the set S' = {f(T), f(52),. . . , f (Tn)} C W is linearly dependent...

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is a subspace of V.<br>2. Let f : V → W be a homomorphism. Show that if the set S = {v1, 02, . . . , Un} CV is linearly<br>dependent, then the set S' = {f(T), f(52),. . . , f (Tn)} C W is linearly dependent as well.<br>3. Let h : P3 → P3 by h(a+ bx + cx² + dx³) = a + (a + b)x + (b – c)x² + (c + d)a³. Find:<br>

Extracted text: is a subspace of V. 2. Let f : V → W be a homomorphism. Show that if the set S = {v1, 02, . . . , Un} CV is linearly dependent, then the set S' = {f(T), f(52),. . . , f (Tn)} C W is linearly dependent as well. 3. Let h : P3 → P3 by h(a+ bx + cx² + dx³) = a + (a + b)x + (b – c)x² + (c + d)a³. Find:

Jun 05, 2022

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is a subspace of V. 2. Let f : V → W be a homomorphism. Show that if the set S = {v1, 02, . . . , Un} CV is linearly dependent, then the set S' = {f(T), f(52),. . . , f (Tn)} C W is linearly dependent...

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