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The set of all continuous functions is a vector space. The set of all 2 x 2 matrices constitutes a real vector space. Determine whether the given set of elements is linearly independent. (b) 3x + 1, sin2(3x), cos2(3x), 4x (c) (1 2), (-1 1),(-5 -4) (3 4), ( 0 5),(-6 -2)

The set of all continuous functions is a vector space. The set of all 2 x 2 matrices constitutes a real vector space. Determine whether the given set of elements is linearly independent.

(b) 3x + 1, sin2(3x), cos2(3x), 4x

(c) (1 2), (-1 1),(-5 -4) (3 4), ( 0 5),(-6 -2)

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