MTH 141 Midterm: MTH141 – F2018 Midterm2 (Solution)
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1. (multiple choice question) let l : r2 r3 and m : r3 r2 be linear mappings where the range of m l is all of r2. Which of the following is true: [l] is invertible, rank ([l]) = 2, [l m ] = i, rank ([m ]) = 3. 2. (multiple choice question) let a be a non-invertible square matrix where a = at . Which one of the following sets is also a basis for col(a): row(a, the columns of a, a basis for null(a, a basis for row(a, none of these. 3. (multiple choice question) let a = ki + [ 3 8. A 1 exist: all k r, k = 0 and k = 1, k = 1 and k = 3. Write the (capital) letter of the answer in this box. Only the answer in the box will be marked. C: k = 5 and k = 7, none of these.
