MAS 2103 Midterm: MAS 2103 FAU ex4S07
Document Summary
Directions: make sure to show all necessary work to receive full credit. If you need extra space please use the back of the sheet with appropriate labeling. V : true or false: suppose a is an n n matrix. Exam 4-math 332: a) prove that the following function l : r2 r2 is a linear transformation, find the standard matrix representation of l. L((x, y)) = (3x y, x y). Al = : find the characteristic polynomial and the eignevalues of the matrix al. (hint: use the quadratic formula. ) char(a)= 3: let t : rn rm be a linear transformation, de ne the nul space of t , denoted nul(t ). nul(t ) = , prove that nul(t ) is a subspace. Exam 4-math 332: play the game with the following matrix. 4: find the characteristic polynomial of a, find the eigenvalues of a, find a basis for each eigenspace of a. 5: play the game with the following matrix.
