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Question Three (14 Marks) Complete the following: a] {2 Marks) Explain what the rank of a matrix is. h) [6 Marks] Calculate the rank of

Question Three (14 Marks) Complete the following: a] {2 Marks) Explain what the rank of a matrix is. h) [6 Marks] Calculate the rank of the following matrix: 1 5 2 3 11 3 1 4 2 5 1 9 O 4 17 ' 5 3 6 1 1 c] (6 Marks] Calculate the rank of the following matrix and use it to determine if there exists linear dependence in this matrix: 1 6 1 7 0 4 4 1 B: 2 1 -9 0- 3 -1 16 1 -4 2 22 3 A

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