Unformatted text preview: → V be the linear transformation f ( x,y ) = (3 x + 2 y, 5 x + y ) (1) What is the null space of f ? (2) What is the matrix m X ( f ) of f with respect to the basis X ? What is m X ( f 2 )? (3) Let Y = { (1 , 2) , (2 , 3) } . Find the matrices m Y ( f ) and m Y ( f 2 ). 2. Problem 4 on page 50 of Apostol. In addition ﬁnd the matrices of T and T 2 with respect to the basis { i + j , ij } . 3. Problem 6 on page 67 of Apostol. 4. Problem 9 on page 67 of Apostol. 1...
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This note was uploaded on 04/28/2010 for the course MATH 1B taught by Professor Aschbacher during the Winter '07 term at Caltech.
 Winter '07
 Aschbacher
 Math, Linear Algebra, Algebra

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