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Question 3) Linear Algebra: Answer the following questions: (a) Provide a 3 x 3 matrix A so that rank(A) = 1 and C(A) = C(A)
Question 3) Linear Algebra: Answer the following questions: (a) Provide a 3 x 3 matrix A so that rank(A) = 1 and C(A) = C(A") or provide justification that it is not possible. Also, provide a 3 x 3 matrix B so that rank(B) = 1 and C(B) # C(BT) or provide justification that it is not possible. For the next two parts, consider A E R7x4 with linearly independent columns. (b) After row operations reduce A to a row echelon form, how many rows will be all zero (or is it impossible to tell)? (c) Find the row space C(A"). Is the following system of linear equations have a solution? A y = [5+5+5= 15 marks]
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