MATH 551 Midterm: MATH 551 KSU Test 2f00

• School: Kansas State University
• Department: Mathematics
• Course: MATH 551
• Professor: All

Document Summary

Show all your work in the space provided under each question. Find a 1: find a transformation t : r2. R2 which re ects points in the y-axis. Find the matrix which describes this transformation: de ne t : r4. R3 by t (v) = av where a = . Explain your answers: suppose a has an lu factorization where. Use this to solve ax = y where y = . 1: suppose that t : v w is a linear transformation from the vector space v to the vector space w . Show that the image of t is a subspace of w : find a transformation t : r2. R2 which sends the unit circle x2 + y2 = 1 to the page 4 of 5 ellipse. 4: find the coordinates of the vector . With respect to the basis of r3.