MAT188H1 Midterm: MAT188H1_20169_641483478583mat188tut8sol

• School: UTSG
• Department: Mathematics
• Course: MAT188H1
• Professor: All

Document Summary

Faculty of applied science & engineering, university of toronto. Tutorial problems 8: suppose a is a 4 6 matrix that has reduced row-echelon form. Which of the following statements about a are guaranteed to be true, where ai denotes the ith column of a. Solution: (a) false, the columns of a are in r4 and there are 6 of them so they cannot be linearly independent. (b) false, from r we see that a has rank 3 and so dim col(a) = 3. We could have r = a in which case this obviously fails. 1 of 5: each row of the table below summarizes information about some matrix a. Fill in all the missing information from the table. Size ax = b consistent b ax = b has at most one solution. 5 4 yes yes yes yes yes no no no dim(col(a)) nullity(a) rank(a) But before we do that, let"s make a few preliminary observations.