{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

sol-assignment9

# sol-assignment9 - 2 A is diagonalizable since it’s a...

This preview shows pages 1–6. Sign up to view the full content.

1 University of Toronto at Scarborough Department of Computer and Mathematical Sciences Linear algebra II MATB24 Fall 2010 Section 6.3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2
3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4
5

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
6 In addition: 1) Eigenvalues are 0 and 1. For = 0, its algebraic multiplicity and geometric multiplicity are both 1; For = 1, its algebraic multiplicity and geometric multiplicity are both 2. Therefore the matrix is diagonalizable.
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2) A is diagonalizable since it’s a symmetric matrix. B is not diagonalizable since the eigenvalue 3 has algebraic multiplicity 3 but geometric multiplicity only1. C is diagonalizable since its eigenvalues are distinct. D is diagonalizable since it’s a symmetric matrix....
View Full Document

{[ snackBarMessage ]}