Start Typing in MATLAB Use MATLAB: 1.) Determine whether the vectors v = (1, 1, 2),...

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Start Typing in MATLAB Use MATLAB: 1.) Determine whether the vectors v₁ = (1, 1, 2), V2 = (1, 0, 1) and v3 = (1, 1, 2), v2 = (2, 1, 3) span the vector space R³ Type: A1 = [1 1 2; 1 0 1; 1 1 2]' AR1 rref(A1) Aln= rank(A1) Aln= rank(AR1) 2.) Determine whether the vectors b = (6,11,6) is in the spanning subspace of the vectors in the set S = V₁ = (2, 1, 4), V2 = (1, −1, 3), V3 = (3, 2, 5). Type: A2 [2 1 4; 1 -1 3; 3 2 5]' B2 [ 2 1 4; 1 -1 3; 3 2 5; 6 11 6]' r1= rref(A2) r2= rref(B2) r3= rank(A2) r4= rank (B2) You should have vectors in columns of the matrix. Otherwise type: ANSA1= 0 If you get an identity matrix, the vectors span R³. If the rank is 3 the vectors span R³. If the rank is 3 the the vectors span R³. If you decide that b = (6, 11, 6) is in spanning subspace of vectors in S, type: ANSA1= 1 Start Typing in MATLAB Use MATLAB: 1.) Determine whether the vectors v₁ = (1, 1, 2), V2 = (1, 0, 1) and v3 = (1, 1, 2), v2 = (2, 1, 3) span the vector space R³ Type: A1 = [1 1 2; 1 0 1; 1 1 2]' AR1 rref(A1) Aln= rank(A1) Aln= rank(AR1) 2.) Determine whether the vectors b = (6,11,6) is in the spanning subspace of the vectors in the set S = V₁ = (2, 1, 4), V2 = (1, −1, 3), V3 = (3, 2, 5). Type: A2 [2 1 4; 1 -1 3; 3 2 5]' B2 [ 2 1 4; 1 -1 3; 3 2 5; 6 11 6]' r1= rref(A2) r2= rref(B2) r3= rank(A2) r4= rank (B2) You should have vectors in columns of the matrix. Otherwise type: ANSA1= 0 If you get an identity matrix, the vectors span R³. If the rank is 3 the vectors span R³. If the rank is 3 the the vectors span R³. If you decide that b = (6, 11, 6) is in spanning subspace of vectors in S, type: ANSA1= 1

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