Linear Algebra 4.5.2 Subspaces of a Finite Dimensional Space

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Compute the dimension of Col A and Nul A
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Hi pls help :Suppose U1, U2, … I'm are finite dimentional space of V prove that U1+U2+… Um is finite dimentional and dim (U1+U2+… Um) =dimU1+dimU2+… dimUm.?

sifisoleema
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@3:21 shouldn't it be "the pivot columns of A form a basis for COL A" as COL A is a subspace as discussed previously and a basis can exist for a subspace and not a matrix?

kumaravelrajan