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Unformatted text preview: bases of R 2 : B = { e 1 + e 2 , 2 e 2 } and C = { e 1e 2 ,e 1 } . (i) (5 points) Find the change of cooridnate matrix from Bcoordinates to Ccoordinates. (ii) (5 points) If a vector w is such that [ w ] B = (1 , 3) T , what is [ w ] C ? 4 MATH. 20F SAMPLE MIDTERM 2 (4) (10 points) Decide if the following statements are true or false. Justify your answers. (a) If A is a 6 7 matrix whose row space has dimension 2, then the null space of A has dimension 5. (b) If A and B are related by a sequence of EROs, then the column space of A and B are equal....
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 Winter '03
 BUSS
 Linear Algebra, Algebra, Determinant

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