+3t+1, t+1, t-1} linearly independent? Justify your answer.
Sample Quiz
March 29, 2006
Which of the following are vector spaces (no explanation needed)
A) The set of 3×3 matrices with determinant 1, with the usual addition and multiplication by a scalar.
B) The set of polynomials of degree exactly 2, with the usual addition and multiplication by a scalar.
C) The set of polynomials of degree at most 2, with the usual addition and multiplication by a scalar.
D) Span{(1,2,0,1),(3,-1,-1,0)}, with vector addition and multiplication by a scalar.
Is the set of polynomials {+3t+1, t+1, t-1} linearly independent? Justify your answer.
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