Unformatted text preview: C = £ 4 5 6 / 1 2 3 = ? , D = 1 2 3 £ 4 5 6 / = ? (b) Find rank( C ) and rank( D ), justifying your answers. 4. (10 points) Let A = 12 2 23 666 01 2 2 6 4 12 3 4 1 , B = 12 022 1 2 1 . Given that B is the reduced echelon form of A , answer the following: (a) Find the dimension of the row space of A and a basis of it. (b) Find the dimension of the column space of A and a basis of it. (c) Find the dimension of the null space of A and a basis of it. (d) Is it true or false that col( A ) = Span ( 2 2 , 2 1 ) ? Why do you say so ? 1...
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 Spring '08
 KLEMES
 Math, Linear Algebra, 50 Minutes, elementary row operations

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