Question: 4. (10 marks) Let A be a 5 x 8 matrix with rank 5 and B be an 8 x 9 matrix with rank 8

4. (10 marks) Let A be a 5 x 8 matrix

4. (10 marks) Let A be a 5 x 8 matrix with rank 5 and B be an 8 x 9 matrix with rank 8 over a field F. Show that rank( AB) = 5

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