MATH 240 Midterm: MATH240 MATH232 Fall2007 M1 for MATH240 Solution

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 240
• Professor: All

Document Summary

No credit will be given for just writing down the answer: if the answer space provided is not su cient, write your answer on the back of the previous page. Clearly mark the question number: good luck. Midterm 1, math 232, fall 2007: (7 points) compute the determinant of. Solution: we use cofactor expansion along the rst row to obtain. Using the formula for the determinant of a 2 2, we get an answer of. Midterm 1, math 232, fall 2007: true or false. Justify your answers. (a) (2 points) if a 3 3 matrix has linearly dependent columns then its columns cannot span. 0 0 1 (c) (2 points) if the dimension of the column space of an 8 9 matrix a is 4, then the dimension of its null space is 5. False: consider the set of vectors in r2 whose rst coordinate is 0.