MAT 1302 Midterm: MAT1302 University of Ottawa Exam swm14-1

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1302
• Professor: All

Document Summary

The reverse side of pages is for scrap work. If you nd that you need extra space in order to answer a particular question, you should continue on the reverse side of the page and indicate this clearly. Please do not write in the table below. Note that more than one statement may be true. [5 points] find all the solutions to the following linear system. x2 + 2x3 = 3 x1 + Thus, there is a unique solution, given by: [5 pts] for which values of h and k does the matrix-vector equation (cid:20)1 2h k(cid:21) Solution: we reduce the augmented matrix: (cid:20) 1 2h 2 k (cid:21) 3r1+r2. For which values of c and d is the vector ~b a linear combination of the vectors ~a1, ~a2, and. Solution: we reduce the augmented matrix to echelon form: The equation has a solution when there is no pivot in the last column.