Subspace problems - is a subspace of the space of 22...

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MAT 272 Linear Algebra Additional Subspace problems. On Nov. 17 there will be an in-class quiz in which you will be required to prove one of the following completely and accurately. In each problem the letters a, b and c represent real numbers 1) Prove that the set of vectors of the form is a subspace of . 2) Prove that the set of vectors of the form is a subspace of . 3) Prove that the set of matrices of the form is a subspace of the space of 3×3 matrices. 4) Prove that the set of matrices of the form
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Unformatted text preview: is a subspace of the space of 22 matrices. 5) Prove that the set of polynomials of the form is a subspace of the space of . 6) Prove that the set of polynomials of the form is a subspace of the space of . 7) Prove that the set of continuous functions, f(x) , satisfying f(0) = 0 is a subspace of the space of continuous functions. 8) Prove that the set of differentiable functions f(x) satisfying f '(0) = 0 is a subspace of the space of differentiable functions....
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