MTH 162 Midterm: MTH 162 University of Rochester 162 Midterm 1Fall 06

• School: University of Rochester
• Department: Mathematics
• Course: MTH 162
• Professor: All

Document Summary

Friedmann tucker: the presence of calculators, cell phones, ipods and other electronic devices at this exam is strictly forbidden, show your work and justify your answers. You may not receive full credit for a correct answer if insu cient work is shown or insu cient justi cation is given: clearly circle or label your nal answers, on those questions for which it is appropriate. The rst operation is ipping the rst and third rows so e1 = multiply the second row by 1/2 so e2 = row to the rst row, so e3 = . Math 235 (linear algebra: (7 points) find the general form for the solutions to the set of linear equations: x1 + x2 + 2x3 = 2 x1 + 2x2 + x3 = 5. The corresponding augmented matrix is 1 1 2 : 2. So we see that the general solution is x1 = 1 3x3, x2 = 3 + x3.