hw07 - Math 110Linear Algebra Fall 2009, Haiman Problem Set...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 110Linear Algebra Fall 2009, Haiman Problem Set 7 Due Monday, Oct. 19 at the beginning of lecture. Reminder: Midterm 2 is Friday, Oct. 23, covering material from Problem Sets 1 through 7. The emphasis will be on Problem Sets 4 through 7, but you are responsible for knowing the earlier material as well. 1. For the matrices A and D in Section 3.2, Example 3, find invertible matrices G and F such that D = GAF . 2. Let T : P 4 ( R ) P 4 ( R ) be the linear transformation defined by T ( f ( x )) = f ( x ) + f (1- x ). (a) Find the matrix of T with respect to the basis of monomials { 1 ,x,x 2 ,x 3 ,x 4 } , and calculate rank( T ). (b) Find a basis of the nullspace N ( T ). 3. Invert the matrix 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 and show your method ( i.e. , dont just plug it into a computer algebra program)....
View Full Document

Page1 / 2

hw07 - Math 110Linear Algebra Fall 2009, Haiman Problem Set...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online