Mathematics 1229A/B Midterm: 1229test2 solution.pdf

• School: Western University
• Department: Mathematics
• Course: Mathematics 1229A/B
• Professor: hi

Document Summary

[ 1 mark ] consider the following systems of equations in the variables x, y and z. (i) x2 2y + z = 5 (ii) 52x + 3y = z x + y + z = 0. 5x yz = 10 x + y + z = 3. Solution: in system (i), the rst equation is not linear because it has an x2 term. And in system (iii), the second equation is not linear because it has a yz term. But in system (ii), each equation involves only x, y and z multiplied by constants, so these are all linear equations. (of course, dividing an unknown by a constant c is the same as multiplying that unknown by 1/c. ) So system (ii) is the only one of the given systems which is linear. [ 1 mark ] find the augmented matrix for the following system of linear equations. x1 2x2 + x3 = 0.