MAT-2240 Midterm: MATH 2240 App State Spring2008 Exam2

• School: App State
• Department: Mathematics
• Course: MAT-2240
• Professor: All

Document Summary

Use the backs of the exam pages for scratchwork or for continuation of your answers, if necessary. 100: (12 points): consider the matrix: a = . 1 det(a) (b) let b be an n n matrix whose determinant is 2. Determine det(b 2). (c) let c be an n n matrix such that c 3 = 0. R3(cid:12)(cid:12)(cid:12)(cid:12)(cid:12) v1 + v2 > v3 (b) w = w1 w2 w3. 0: (14 points): consider the matrix a = . Note that the row reduced echelon form of a is . 0 subspace subspace dimension basis for the subspace. Row(a) dim(row(a)) = (b) find a basis for r4 which extends the basis for col(a) [found in part (a)]: (14 points): eigenvalues/eigenvectors. 2 0 1 : (15 points): let a = . Compute a. (you should check that your answer is correct: a .