Are the following statements true or false? ? ? ? ? ? 1. If the set of vectors U spans a subspace S, then vectors can be

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Are The Following Statements True Or False 1 If The Set Of Vectors U Spans A Subspace S Then Vectors Can Be 1 (32.5 KiB) Viewed 38 times

Are the following statements true or false? ? ? ? ? ? 1. If the set of vectors U spans a subspace S, then vectors can be added to U to create a basis for S ✓2. If the set of vectors U spans a subspace S, then vectors can be removed from U to create a basis for S ✓3. If S₁ and S₂ are subspaces of R" of the same dimension, then S₁ = S₂. ✓ 4. If the set of vectors U is linearly independent in a subspace S then vectors can be added to U to create a basis for S ✓ 5. If the set of vectors U is linearly independent in a subspace S then vectors can be removed from U to create a basis for S.