5. Let V = {(a, b, c, d): a + 3b-2c=0}. Show that (-3, 1, 0, 0), (2,0, 1, 0), and (0, 0, 0, 1) form a basis of V.

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5. Let V = {(a, b, c, d) : a + 3b — 2c = 0}. Show that (-3, 1, 0, 0), (2,0, 1, 0), and (0, 0, 0, 1)¹ form a basis
of V.
Transcribed Image Text:T 5. Let V = {(a, b, c, d) : a + 3b — 2c = 0}. Show that (-3, 1, 0, 0), (2,0, 1, 0), and (0, 0, 0, 1)¹ form a basis of V.
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