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20. a. R2 is a two-dimensional subspace of R3. b. The number of variables in the equation Ax 0
equals the dimension of Nul A c. A vector space is infinite-dimensional if it is spanned by an
infinite set. d. If dim V n and if S spans V, then S is a basis of V e. The only three-dimensional
subspace of R3 is R3 itself.
Solution
c is the correct answer

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20. a. R2 is a two-dimensional subspace of R3. b. The number of varia.pdf

  • 1. 20. a. R2 is a two-dimensional subspace of R3. b. The number of variables in the equation Ax 0 equals the dimension of Nul A c. A vector space is infinite-dimensional if it is spanned by an infinite set. d. If dim V n and if S spans V, then S is a basis of V e. The only three-dimensional subspace of R3 is R3 itself. Solution c is the correct answer