MA 26500 Final: Spring 2017, Final
Document Summary
E. (ii) only (iv) only (ii) and (iv) only (ii), (iii) and (iv) only (i), (ii), (iii) and (iv: consider the linear system of equations. 2x + y z = a x y + 2z = 1. Under which condition will the system be consistent: a = 0, a = 2, a = 0 or 1, a = 1 or 2, a = 1. 1: let a, b be two 4 4 matrices. If a + b is singular, then either a or b is singular. If ab is symmetric, then ba is also symmetric. If a and b are similar matrices, then det(a) = det(b). If ab = ac, then b = c. If ax = b is consistent for some b 6= 0, then a is non-singular: assume that a 4 4 matrix a is row equivalent to. If ax = b is consistent for some b 6= 0, then it has in nitely many solutions.
