1. Determine whether S = {(1,2, 1), (2, 2, 3), (1, 0, 1)} is linear dependent...

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1. Determine whether S = {(1,2, 1), (2, 2, 3), (1, 0, 1)} is linear dependent or linearly independent. If linear de- pendent, express one of the vectors in the set as a linear combination of the other vectors in S. 2. Determine whether S = {x² + 3x-2,2x²-x+3,2x - 2} is linear dependent or linearly independent. If linear dependent, express one of the vectors in the set as a linear combination of the other vectors in S. 3. Determine whether the functions are linearly dependent or independent: f(x)= e, g(x) = ²x, h(x) = ³x If linear dependent, express one of the vectors in the set as a linear combination of the other vectors in S. 1. Determine whether S = {(1,2, 1), (2, 2, 3), (1, 0, 1)} is linear dependent or linearly independent. If linear de- pendent, express one of the vectors in the set as a linear combination of the other vectors in S. 2. Determine whether S = {x² + 3x-2,2x²-x+3,2x - 2} is linear dependent or linearly independent. If linear dependent, express one of the vectors in the set as a linear combination of the other vectors in S. 3. Determine whether the functions are linearly dependent or independent: f(x)= e, g(x) = ²x, h(x) = ³x If linear dependent, express one of the vectors in the set as a linear combination of the other vectors in S.