3f-fall2010-homework121

3f-fall2010-homework121 - Math 3F Homework #12 Due:...

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Math 3F — Homework #12 Due: Tuesday, December 7 1. If A = 1 - 2 0 3 2 - 1 2 1 3 and B = 4 - 2 3 - 1 5 0 6 1 2 , compute: (a) 2 A + B (b) A - 4 B (c) AB (d) BA 2. If A = ( 1 + i - 1 + 3 i 3 + 2 i 2 - i ) and B = ( i 3 2 - 2 i ) , find: (a) A - 2 B (b) 3 A + B (c) AB (d) BA 3. Verify that ⃗x = ( 4 2 ) e 2 t satisfies the equation ⃗x = ( 3 - 2 2 - 2 ) ⃗x . 4. Check that ⃗x = ( 1 0 ) e t + 2 ( 1 1 ) te t satisfies ⃗x = ( 2 - 1 3 - 2 ) ⃗x + ( 1 - 1 ) e t . 5. Find the eigenvalues and corresponding eigenvectors for
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This note was uploaded on 01/14/2011 for the course MATH 3F taught by Professor Williamson during the Fall '09 term at Laney College.

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