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Unformatted text preview: Let a 1 = 1 1 2 , a 2 = 1 3 , b = 2 23 . Is b a linear combination of a 1 , a 2 ? Explain why or why not. 3. (20 points) Find the inverse of the matrix A = 1 1 2 1 21 3 . 4. (20 points) Let L : R 2 → R 2 be a linear transformation such that L ± 3 1 ² = ± 21 ² and L ± 2 1 ² = ± 2 ² . Find a 2 × 2 matrix A such that L ( x ) = Ax for all x in R 2 . 5. (20 points) Find all 2 × 2 matrices X , which satisfy AX = XA for A = ± 1 2 3 ² ....
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This note was uploaded on 04/28/2008 for the course MAT 202 taught by Professor Staff during the Spring '08 term at Princeton.
 Spring '08
 Staff
 Math, Linear Algebra, Algebra

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