{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

section4

# section4 - EE221A Section 4 1 Change of basis Exercise...

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

EE221A Section 4 9/16/11 1 Change of basis Exercise 1. [LN3, p. 10] Let A : R 3 R 3 be a linear map. Consider B = { b 1 , b 2 , b 3 } = 1 0 0 , 0 1 0 , 0 0 1 , C = { c 1 , c 2 , c 3 } = 1 1 0 , 0 1 1 , 1 0 1 . Clearly B and C are bases for R 3 . Suppose A maps: A ( b 1 ) = 2 - 1 0 , A ( b 2 ) = 0 0 0 , A ( b 3 ) = 0 4 2 . Write down the matrix representation of A w.r.t. B and then w.r.t. C . Exercise 2. Rank of A T A A R m × n , m n , and rank ( A ) = n . Show that rank ( A T A ) = n. 2 Adjoint Exercise 3. Orthogonal complement. Consider the linear map A : U V . Show that R ( A ) = N ( A * ) . 3 Norms Exercise 4. “Zero norm”. Define the zero norm

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

section4 - EE221A Section 4 1 Change of basis Exercise...

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

View Full Document
Ask a homework question - tutors are online