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In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V.
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Linear Algebra: A Modern Introduction
- In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=M22,W={[abb2a]}arrow_forwardIn Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=3, W={[a0a]}arrow_forwardIn Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=3, W={[aba]}arrow_forward
- In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. 37. V = P, W is the set of all polynomials of degree 3arrow_forwardIn Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. 39.arrow_forwardIn Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=Mnn, W is the set of diagonal nn matricesarrow_forward
- Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors {vu,wv,uw} is linearly independent or linearly dependent.arrow_forwardFind a basis for R2 that includes the vector (2,2).arrow_forwardProve that if A is similar to B and A is diagonalizable, then B is diagonalizable.arrow_forward
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