Unformatted text preview: v 1 6 = v 2 that share the same eigenvalue. 7) (T/F) Any matrix system d dt u ( t ) = Au ( t ) an be written as a single higherorder diﬀerential equation. 8) (T/F) If w ( t ) and v ( t ) are solutions to d dt u ( t ) = Au ( t ) + b , then w + v is a solution too. 9) (T/F) If a square matrix A is unstable, then tr ( A ) > 0 and det ( A ) < 0. 10) When solving d dt u ( t ) = Au ( t ), does it matter if A isn’t diagonalizable? (Yes.) Why doesn’t our method work? What do we do? TA: Kyle Wilson...
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 '05
 HUI
 Linear Algebra, Algebra, Eigenvectors, Matrices, Orthogonal matrix

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