Are the following statements true or false? ✓ 1. Let m

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Are The Following Statements True Or False 1 Let M N Then U 2 Um In R Can Form A Basis For R If The 1 (33.64 KiB) Viewed 27 times

Are the following statements true or false? ✓ 1. Let m <n. Then U = {₁, 2, ..., um} in R" can form a basis for R" if the correct n-m vectors are added to U. ? ? ? ✓ 2. The set {0} forms a basis for the zero subspace. ? V ? S₂ R¹. 3. The nullity of a matrix A is the same as the dimension of the subspace spanned be the columns of A. V 4. If S₁ is of dimension 3 and is a subspace of R¹, then there can not exist a subspace.S₂ of Rª such that S₁ S₂ CR¹ with S₁ S₂ and ✓5. R¹¹ has exactly one subspace of dimension m for each of m= 0, 1, 2, ..., n.