1 -2 31 [10 -3 9 Let A = -1 3 0,B: = 3 1-2, C...

  

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1 -2 31 [10 -3 9 Let A = -1 3 0,B: = 3 1-2, C = -2,C=-4 22 1 17. 2-55] a) Find A¹, then use it to find (B-1A)-1. C. b) Use A¹to find AX = C. c) Evaluate |B|. Q-4: [7+8 marks] a) Determine whether the following set of vectors in R4 is linearly independent or linearly dependent. S = {(1,0,−1,0), (1,1,0,2), (0,3,1, −2), (0,1, −1,2)}. b) Write the vector u = (10,1,4) as a linear combination of the vectors V₁ = (2,3,5), v₂ = (1,2,4) and v3 = (-2,2,3). 1 -2 31 [10 -3 9 Let A = -1 3 0,B: = 3 1-2, C = -2,C=-4 22 1 17. 2-55] a) Find A¹, then use it to find (B-1A)-1. C. b) Use A¹to find AX = C. c) Evaluate |B|. Q-4: [7+8 marks] a) Determine whether the following set of vectors in R4 is linearly independent or linearly dependent. S = {(1,0,−1,0), (1,1,0,2), (0,3,1, −2), (0,1, −1,2)}. b) Write the vector u = (10,1,4) as a linear combination of the vectors V₁ = (2,3,5), v₂ = (1,2,4) and v3 = (-2,2,3).