Question: Question 2 (20 marks) a. Let S be the set of matrices of the form 05h b r: ' where a, b, and c e

Question 2 (20 marks) a. Let S be the set of matrices of the form 05h b r: ' where a, b, and c e R. The vector addition and scalar multiplication in S are the usual Operations of matrix addition and scalar multiplication. i. Show that S is a vector space. (5 marks) ii. Find a basis and State the dimension of this Space. (4 marks)

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