(i) S = {u = -1 (ii) S2 = {v1 = (iii) S3 = {w For...

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(i) S₁ = {u₁ = -1 (ii) S2 = {v1 = (iii) S3 = {w₁ For each set of vectors, use the most efficient method to determine if it is linearly independent or not: 0 (3)) 1 basis (vi = is quite long). = 2 2 (3) TONTON T 0 -1 0 2 0 , U₂ = , V2 = , V2 = ,W2 = 7 OT Following the discussion 0 (9) , Uz = , V3 = , V3 = , W3 = (1) ₁ 0 6 5 , W₁ = 6 5 } CV to the basis {w₁ = find the matrix R³ = V ^ W = R³ which sends the (1) = ( ) < , W3 ,W₂ = CV. (This exercise (i) S₁ = {u₁ = -1 (ii) S2 = {v1 = (iii) S3 = {w₁ For each set of vectors, use the most efficient method to determine if it is linearly independent or not: 0 (3)) 1 basis (vi = is quite long). = 2 2 (3) TONTON T 0 -1 0 2 0 , U₂ = , V2 = , V2 = ,W2 = 7 OT Following the discussion 0 (9) , Uz = , V3 = , V3 = , W3 = (1) ₁ 0 6 5 , W₁ = 6 5 } CV to the basis {w₁ = find the matrix R³ = V ^ W = R³ which sends the (1) = ( ) < , W3 ,W₂ = CV. (This exercise