Which of the following sets are closed under scalar multiplication? (i) The set of all matrices in M22 such that A2 = A (ii) The set of all vectors in R° of the form (a, b, 8a+ 6b). (iii) The set of all polynomials a + bx + cx² in P2 such that ac = 0.

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A: Explanation of the answer is as follows

Q: Let Find a non-zero vector in the column space of A. A = -8 -8 12 -12 2 -2 -3 0 10 0 15

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