{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Homework 3 Solutions

Homework 3 Solutions - Engineering Math Homework 3...

This preview shows pages 1–2. Sign up to view the full content.

Engineering Math Homework 3 Solutions Spring 2010 A œ \$ # ! " ! # ! ! \$ ' # \$ # % ! % Ô × Ö Ù Ö Ù Õ Ø (1) det (do a cofactor expansion across row 2) Ô × Ö Ù Ö Ù Õ Ø \$  # ! " ! #  ! ! \$ ' #  \$ # % ! %  - - - - (do a cofactor expansion across column 2) œ Ð#  Ñ \$  ! " \$ #  \$ # ! %  - - - - â â â â â â â â â â â â œ Ð#  ÑÐ#  Ñ \$  " # %  - - - - º º œ Ð#  ÑÐ#  Ñ Ð\$  ÑÐ%  Ñ  # œ Ð#  ÑÐ#  ÑÐ  (  "!Ñ - - - - - - - - # œ Ð#  ÑÐ#  ÑÐ  #ÑÐ  &Ñ œ ! œ #ß #ß #ß & - - - - - (multiplicity ) (multiplicity ) - - " # œ # \$ œ & " (2) Find a basis for the eigenspace of corresponding to : A - " œ # Ô ×Ô × Ô × Ö ÙÖ Ù Ö Ù Ö ÙÖ Ù Ö Ù Õ ØÕ Ø Õ Ø " # ! " A ! ! ! ! ! B ! \$ ' ! \$ C ! # % ! # D ! œ Ô × Ô × Ö Ù Ö Ù Ö Ù Ö Ù Õ Ø Õ Ø " # ! " ã ! " # ! " ã ! ! ! ! ! ã ! ! ! ! ! ã ! \$ ' ! \$ ã ! ! ! ! ! ã ! # % ! # ã ! ! ! ! ! ã ! Ä A  #B  D œ !

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

View Full Document
Ô × Ô × Ô × Ô × Ô × Ô × Ô × Ô × Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Õ Ø Õ Ø Õ Ø Õ Ø Õ Ø Õ Ø Õ Ø Õ Ø A #B  D #B ! D # ! " B B B ! ! " ! ! C C ! C ! ! " ! D D ! ! D ! ! " œ œ œ B  C D basis: Ô × Ô × Ô × Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Ö Ù Õ Ø Õ Ø Õ Ø # ! " " ! ! ! " ! ! ! " ß ß Find a basis for the eigenspace of
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 2

Homework 3 Solutions - Engineering Math Homework 3...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online