This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: + 5) . Under what condition is A is diagonalizable? Problem 5. Condisder L ( y ) = y ±±±± + 2 y ±±± + 2 y ±± . (a) Solve L ( y ) = 0. (b) Solve L ( y ) = cos( x ). Problem 6. Consider the following matrix A = 24 5 1 21 4 3 1 5 . (a) What is the determinant of A ? (b) What is the trace of A ? (c) What are the eigenvalues of A ? Problem 7. Consider the matrix A = 1 0 1 0 0 2 0 1 1 . Find the eigenvalues and eigenvectors of A . Is A diagonalizable? Justify your answer. . Problem 8. Let A and B be two invertible matrices. Show that AB and BA have the same characteristic polynomial....
View
Full Document
 Spring '07
 Trangenstein
 Math, Linear Algebra, Matrices, Characteristic polynomial, salted water

Click to edit the document details