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Unformatted text preview: 2 satises L (1 , 2 , 1) T = (1 , 3) T , L (2 , 1 ,3) T = (1 , 2) T . Is this enough information to nd L (4 , 5 ,1) T ? If YES, nd it; if NO, explain why it is impossible. Q10. Find eigenvalues and eigenvectors for the matrix A = 3 1 1 3 . Q11. With A as in Q10, solve Y = AY, Y (0) = (2 , 6) T . Q12. Find the cube root of A = 614 7 15 . Q13. Find the scalar and vector projections of (1 , 2) T onto (1 , 3) T . Q14. Let { x 1 ,x 2 ,x 3 } be nonzero orthogonal vectors in R 3 . Prove that they are linearly independent. Q15. Let S be the span of (1 , 1 , 1) T and (1 , 2 , 3) T . Find S . 2...
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This note was uploaded on 04/03/2012 for the course MATH 323 taught by Professor Boas during the Fall '08 term at Texas A&M.
 Fall '08
 boas
 Linear Algebra, Algebra, Matrices

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