Question: Question 9 (10 marks) Let M be the n x n matrix whose entries are all 1. Determine the rank and signature of the quadratic

Question 9 (10 marks) Let M be the n x n matrix whose entries are all 1. Determine the rank and signature of the quadratic form x Mx. [Hint: convert M into diagonal form by symmetric elementary operations.] Question 10 (10 marks) Use a rotation to compute the normal form of the quadric 312 - 2y' - 23 - Ary - 12yz - 8x2 = 1. State the axis and angle of the rotation and describe the quadric geometrically

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