Unformatted text preview: on [a, b], one need to show that the only solutions are C 1 = 0 ,C 2 = , Â·Â·Â· ,C n = 0 . if equation (1) holds for all t in [a, b], which requires strong algebraic skill. One method is to choose n diï¬€erent numbers { t 1 , t 2 , Â·Â·Â· , t n } from [a, b] and using the functions to create an matrix, the compute the determinant of the matrix A = ( f i ( t j )) , if the determinant is not zero, the functions are linearly independent, but if the determinant is zero, it is inconclusive(most likely are linearly dependent). Example 3.2 . Determine if f 1 ( t ) = t 22 t + 3 , f 2 ( t ) = 2 t 25 t6 , and f 3 ( t ) = 5 t 211 t + 4 are linearly independent....
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 Spring '11
 Dr.Han
 Linear Algebra, Derivative, Vector Space

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