Question: 211 1 1 -2 Let matrix B = 1 0 1 1 1 0 2 2 8 (a) Compute the reduced row echelon form of

211 1 1 -2 Let matrix B = 1 0 1 1 1 0 2 2 8 (a)211 1 1 -2 Let matrix B = 1 0 1 1 1 0 2 2 8 (a)
211 1 1 -2 Let matrix B = 1 0 1 1 1 0 2 2 8 (a) Compute the reduced row echelon form of matrix B. (b) Solve the linear system Bx = 0. (c) Determine the dimension of the column space of B. (d) Compute a basis for the column space of B.Show the validity of the following statements. (a) The set V1 of vector (2) such that |x1| 2|le = 0 is not a subspace of R2. x (b) The set V2 of vector (x:) such that x1 2x2 = (J is a subspace of R2

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