MATH 551 Midterm: MATH 551 KSU Test 2s01

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

Document Summary

Show all your work in the space provided under each question. Each problem is worth 10 points: the vectors below form a spanning set for a subspace of m (3, 1) . 8: find a transformation t : r. 2 which re ects points in the y axis. Find the matrix which describes this transformation: let a = Find a 1 . page 2: de ne t : r. Find a basis for the image of t . Find dim (image t ): suppose t : v w is a linear transformation of the vector space v to the vector space w . Suppose {v1, v2, v3} is a dependent set of vectors in v . Show that the set {t (v1), t (v2), t (v3)} is dependent in w . page 3: find a transformation t : r. 4 radians around the z -axis. (when viewed from the positive z -axis. ) page 4: de ne t : r.