Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Use determinants to find out if the matrix is invertible.

Transcribed Image Text:Use determinants to find out if the matrix is invertible. – 5 1 2 -6 – 4 0 – 5 – 3 The determinant of the matrix is (Simplify your answer.) Is the matrix invertible? Choose the correct answer below. O The matrix is invertible. O The matrix is not invertible.

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TEST Only one of the following matrix has an inverse. Find the determinant of each matrix, and use the determinant to identify the one that has an inverse. Then find the inverse. A=[141020101] B=[140020301]

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True or False ? a To find the determinant of a triangular matrix, add the entries on the main diagonal. b To find the determinant of a matrix, expand by cofactors in any row or column. c When expanding by cofactors, you need not evaluate the cofactors of zero entries.

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True or False ? a The determinant of a 22 matrix A is a21a12a11a22. b The determinant of a matrix of order 1 is the entry of the matrix. c The ij-cofactor of a square matrix A is the matrix obtained by deleting the ith row and jth column of A

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