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: T p 1 1 P = 2 3 4 and T p 12 P = 22 3 Find the matrix of T . 4. (10 points) (a) Find the matrix P for projection in R 3 onto the plane 2 x + y + 3 z = 0. (b) Find a nonzero 3 × 3 matrix B so that BP = 0. 5. (10 points) (a) Let v b be a nonzero vector and suppose that the system Avx = v b has at least 2 diferent solutions. Then show that the homogeneous linear system Avx = v 0 has at least one nonzero solution. (b) IF v b = vV 1 + 2 vV 2 and For A = [ vV 1  vV 2  vV 3 ] we have rreF A = 1 01 0 13 0 0 then ±nd all solutions to Avx = v b . (c) (True or ²alse — IF true, explain why. IF False, give a counterexample.) IF an n × n matrix A is invertible and A 2 = A , then A = I ....
View
Full Document
 Spring '08
 Staff
 Math, Linear Algebra, Algebra, Friday 2PM deadline

Click to edit the document details