Which of the following are vector spaces? Justify your answer. (a) The set of all polynomials of degree 3. = 2023. (b) The set of all vectors x = (x1, x2, x3), satisfying 3x₁ + 5x2 – 9x3 (c) The set of all vectors x = : (x1, x2, x3), satisfying 2024x₁ + x2 − x3 = 0. (d) The set of all 3 × 3 matrices such that Ax 0 has a unique solution. (e) The set of all n × n (n = N) diagonal matrices. =

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