Concept explainers
Let a and b be fixed
defined by
Prove that W is subspace of
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Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)
- In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=Mnn,WAinMnn:detA=1arrow_forwardIn Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. 34. ,arrow_forwardIn Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=3, W={[a0a]}arrow_forward
- In 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_forwardIn Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=M22,W={[abcd]:adbc}arrow_forwardIn 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_forward
- Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector u=(1,1,1,1) in the form u=v+w, where v is in V and w is orthogonal to every vector in V.arrow_forwardIn Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=3, W={[aba+b+1]}arrow_forwardIn Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=3, W={[aba]}arrow_forward
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