Question: Can you please help me solve this linear algebra problem? Thank you!! All steps (Marking) to arrive at your answers must be clearly shown. 1.

Can you please help me solve this linear algebra problem? Thank you!!

All steps (Marking) to arrive at your answers must be clearly shown. 1. Orthogonal Matrices i. Identify a set of values a, b,c such that the columns of the following matrix are mutually orthogonal. 2 1 a A: 1 c 2 b 1 5 ii. Calculate AAT iii. Use your answer in (i) to determine an orthogonal matrix B and verify that BT : B1 5 marks

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