Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special formula for 3x3 determinants. [Note: Finding the characteristic polynomial of a 3x3 matrix is not easy to do with just row operations, because the variable > is involved.] -401 524 005 The characteristic polynomial is (Type an expression using as the variable.)

Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special formula for 3x3 determinants. [Note: Finding the characteristic polynomial of a 3x3 matrix is not easy to do with just row operations, because the variable > is involved.] -401 524 005 The characteristic polynomial is (Type an expression using as the variable.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 35E

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Find the determinant of the matrix in Exercise 16 using the method of expansion by cofactors. Use a the third row and b the first column. 16. [342631478]
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
Find an orthogonal matrix P such that PTAP diagonalizes the symmetric matrix A=[1331].

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