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: . Compute the determinant of A = 21 3 11 21 4 11 3 1 3 21 5 . Problem 7 (12pts) . Consider the linear transformation T • x y ‚ = • x + y xy ‚ , from R 2 to R 2 ; and the vectors v 1 = • 1 2 ‚ and v 2 = •1 1 ‚ . (a) Find the matrix A representing T in the standard basis { e 1 , e 2 } for both domain and range. (b) Find the matrix B representing T in the basis { v 1 , v 2 } for both domain and range. Problem 8 (12pts) . Is the vector b = 1 1 2 in the span of { 1 1 2 , 1 1 , 1 1 1 } ? Justify your answer. Problem 9 (10pts) . Let A be a 2 × 2 matrix. Suppose that A commutes with any 2 × 2 matrix (i.e. AM = MA for any 2 × 2 matrix M ). What can you say about A ?...
View
Full Document
 Spring '07
 Trangenstein
 Linear Algebra, Vectors, Vector Space, 10pts, 12pts

Click to edit the document details