Question: 6. Consider A = 1 0 0 (a) [1 mark] Find a basis for Col( A). (b)[1 mark] Find a basis for Null(A). (c)[2 marks]

6. Consider A = 1 0 0 (a) [1 mark] Find a basis for Col( A). (b)[1 mark] Find a basis for Null(A). (c)[2 marks] Determine dim(Col(A)) and dim(Null( A)). (d)[1 mark] Verify that dim(Col(A)) + dim(Null(A)) = n.Consider the subspace V= ER' : GER (a)[3 marks] Show that every vector in V is a linear combination of U = 0 0 and U2 = - 1 (b)[2 marks] Is {v1, U2} a basis for V? Explain your reasoning

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