Unformatted text preview: f ( x,y ) = 0 pass through the point ( x = 2 ,y = 3) is a linear condition on the coeﬃcients a ,a 1 ,a 2 , ··· . 3b: Find a matrix M of size 2 × 10 so that f ( x,y ) = 0 passes through the points P = (2 , 3) and Q = (1 , 1) if and only if ( a ,a 1 , ··· ,a 9 ) is in the kernel of M. 3c: Use the rank nullity theorm to ﬁnd the possible dimensions of ker ( M ) . You do not need to calculate the RREF of M. Explain why there are inﬁnitely many cubics passing through P and Q. 4: Assume that T is a linear transformation from R 7 to R 4 . Use the rank nullity theorem to ﬁnd the possible dimensions of ker ( T ) . 1...
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 Fall '08
 MARKMAN
 Math, Linear Algebra, Algebra, Vector Space, Highways in Croatia, rank nullity theorem, rank nullity

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