93%(54)50 out of 54 people found this document helpful
This preview shows page 2 out of 2 pages.
Get answer to your question and much more
10.1/1 points |Previous AnswersHoltLinAlg2 6.2.044.DiagonalizeAif possible. (FindPandDsuch thatfor the given matrixA. Enter your answer as one augmented matrix. If the matrix is not able to beenter DNE in any cell.)n×nTrue. Since the determinant of the product of matrices equals the product of the determinants of the matrices,ABis diagonalizable if and only ifAandBare diagonalizable.False. ConsiderA=andB=.1101−1210True. SinceA=PD1P−1andB=PD2P−1,AB=PD1P−1PD2P−1=PD1D2P−1. Since the product of diagonal matrices is diagonal,ABis diagonalizable.False. ConsiderA=andB=.1100−1210False. ConsiderA=andB=.11002101