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: By recursion or cofactors or otherwise(!) compute the determinant of this 5 by 5 circulant matrix C : âŽ¡ âŽ¤ 2 âˆ’ 1 0 âˆ’ 1 âŽ¢ âŽ¥ âŽ¢ âŽ¥ âŽ¢ âˆ’ 1 2 âˆ’ 1 0 âŽ¥ âŽ¢ âŽ¥ âŽ¢ âŽ¥ C = âŽ¢ 0 âˆ’ 1 2 âˆ’ 1 0 âŽ¥ âŽ¢ âŽ¥ âŽ¢ âŽ¥ âŽ¢ 0 âˆ’ 1 2 âˆ’ 1 âŽ¥ âŽ£ âŽ¦ âˆ’ 1 0 âˆ’ 1 2 6 6 (17 pts.) Suppose P 1 is the projection matrix onto the 1dimensional subspace spanned by the ï¬rst column of A . Suppose P 2 is the projection matrix onto the 2Â dimensional column space of A . After thinking a little, compute the product P 2 P 1 . âŽ¡ âŽ¤ 1 0 âŽ¢ âŽ¥ âŽ¢ âŽ¥ âŽ¢ 2 1 âŽ¥ âŽ¢ âŽ¥ A = . âŽ¢ âŽ¥ âŽ¢ 0 1 âŽ¥ âŽ£ âŽ¦ 1 2 7...
View
Full Document
 Spring '05
 Strang
 Linear Algebra, pts, 15 pts, 17 pts, Professor Strang, possible input vectors

Click to edit the document details