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• If A is m × n, which of the four fundamental spaces Col A, Nul A, Col AT, Nul AT are subspaces of R Which are subspaces of R"? Which pairs are orthogonal complements? • • Let W be a subspace of Rn. Show that W₁ = {x: x w = 0, forallw inW} is as subspace of Rn. 4 [ 2 ] ) m

• If A is m × n, which of the four fundamental spaces Col A, Nul A, Col AT, Nul AT are subspaces of R Which are subspaces of R"? Which pairs are orthogonal complements? • • Let W be a subspace of Rn. Show that W₁ = {x: x w = 0, forallw inW} is as subspace of Rn. 4 [ 2 ] ) m

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 49E
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• If A is m × n, which of the four fundamental spaces Col A, Nul A, Col AT, Nul AT are subspaces of R Which are subspaces of R"? Which pairs are orthogonal complements? • • Let W be a subspace of Rn. Show that W₁ = {x: x w = 0, forallw inW} is as subspace of Rn. 4 [ 2 ] ) m
Transcribed Image Text:• If A is m × n, which of the four fundamental spaces Col A, Nul A, Col AT, Nul AT are subspaces of R Which are subspaces of R"? Which pairs are orthogonal complements? • • Let W be a subspace of Rn. Show that W₁ = {x: x w = 0, forallw inW} is as subspace of Rn. 4 [ 2 ] ) m
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