Assignment #7 - Stephanie Campbell Assignment 7 MATH133...

Unformatted text preview: Stephanie Campbell Assignment 7 MATH133, Fall 2009 due 11/21/2010 at 11:59pm EST. You may attempt any problem an unlimited number of times. 1. (1 pt) Which of the following transformations are linear? • A. y 1 = 9 x 1 + x 2 y 2 =- x 1 • B. y 1 = x 2 2 y 2 = x 3 y 3 = x 1 • C. y 1 = y 2 = 7 x 2 • D. y 1 = 8 x 2 y 2 =- 3 x 3 y 3 =- 6 x 1 • E. y 1 = x 1 + 2 y 2 = x 2 • F. y 1 = 9 y 2 = 7 y 3 = 8 2. (1 pt) Find the matrix M of the linear transformation T : R 2 → R 2 given by T x 1 x 2 =- 5 x 1 + 7 x 2 8 x 1 + x 2 . M = . 3. (1 pt) If T : R 2 → R 2 is a linear transformation such that T 1 =-4 5 and T 1 = 10-9 , then the standard matrix of T is A = . 4. (1 pt) If T : R 3 → R 3 is a linear transformation such that T 1 = 4 1 4 , T 1 = -4-2-1 , and T 1 = 4 2 2 , then T -1-2 = ....
View Full Document