Determine which sets in Exercises 1-8 are bases for ℝ 3 . Of the sets that are not bases, determine which ones are linearly independent and which ones span ℝ 3 . Justify your answers. 8. [ 1 − 4 3 ] , [ 0 3 − 1 ] , [ 3 − 5 4 ] , [ 0 2 − 2 ]
Determine which sets in Exercises 1-8 are bases for ℝ 3 . Of the sets that are not bases, determine which ones are linearly independent and which ones span ℝ 3 . Justify your answers. 8. [ 1 − 4 3 ] , [ 0 3 − 1 ] , [ 3 − 5 4 ] , [ 0 2 − 2 ]
Determine which sets in Exercises 1-8 are bases for ℝ3. Of the sets that are not bases, determine which ones are linearly independent and which ones span ℝ3. Justify your answers.
Determine whether the set {p1,p2,p3} is linearly independent in P2, where p1 = 2+x+3x^2 +4x^3, p2 = 4+3x+2x^2 +x^3 and p3 = 1+2x+3x^2 +4x^3. Show all working
Determine whether the set (a) spans R3, (b) is linearly independent, and (c) is a basis for R3.S = {(1, −5, 4), (11, 6, −1), (2, 3, 5)}
Let B = {(1, 2, 3),(3, 2, 1),(0, 0, 1)}. Show that B is linearly independent and spansR3.
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