Q-2: a) Determine whether S = {(1,0,-1), (2,1,0), (3,1,-1), (1,1,1)} spans R. b) Find all c ER for which S = {(c², 0,1), (0, c, 0), (1,2,1)} is a linearly independent set of vectors in R². c)...

i need the answer quicklyQ-2:<br>a) Determine whether S = {(1,0,-1), (2,1,0), (3,1,-1), (1,1,1)} spans R.<br>b) Find all c ER for which S = {(c², 0,1), (0, c, 0), (1,2,1)} is a linearly<br>independent set of vectors in R².<br>c) Determine whether W = {(x, y, z) E R°| x² +y2 = z?} is a subspace of<br>R.<br>

Extracted text: Q-2: a) Determine whether S = {(1,0,-1), (2,1,0), (3,1,-1), (1,1,1)} spans R. b) Find all c ER for which S = {(c², 0,1), (0, c, 0), (1,2,1)} is a linearly independent set of vectors in R². c) Determine whether W = {(x, y, z) E R°| x² +y2 = z?} is a subspace of R.

Jun 04, 2022
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