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 Document
Unformatted text preview: the columns of A . 4. (14 points) Are the columns of the following matrix linearly independent? Justify your answer. 1 2 1 2 16 10 1 11 46 2 5. (14 points) Find the inverse of A = " 2 3 5 7 # and use it to solve AX = " 1 3 4 21 0 # 6. (14 points) Find the general ﬂow pattern of the network shown in the ﬁgure. Assuming that the ﬂows are all nonnegative, what is the largest possible value for x 3 ? 7. (14 points) Suppose the linear transformation T from R 2 to R 3 maps u = " 2 3 # into 1 2 3 and v = " 3 5 # into 61 8 (a) Find T (2 u + 3 v ) (b) Show that Span { u , v } = R 2 . (c) Use parametric vector form to describe the range of T ....
View
Full Document
 Spring '09
 KOCH
 14 points, Dr. Schurle

Click to edit the document details