MATH 251 Midterm: MATH 304 TAMU Homework Midterm1Preparation Solution
Document Summary
Math 304 linear algebra sections 505 and 506. Review homework for midterm exam 1 solution. Find the set of solutions to the system of linear equations represented by the augmented matrix. Thus, we have lead variables x1 and x2 and free variables x3 and x4 satisfying x1 = 1 + x3 + 2x4 x2 = 1 2x3 3x4. Thus the set of solutions is given by. {( 1 + x3 + 2x4, 1 2x3 3x4, x3, x4) : x3, x4 r}. A := a11 a12 a13 a21 a22 a23 a31 a32 a33. Solve the system ax = bj for x := x1 x2 x3. We learned that the solution of a system of linear equations ax = b is given by x = a 1b. Thus we obtain the following sets of solutions: Decompose (factor) the following matrix into a product of elementary matri- ces. For every elementary row operation which we perform we write down the corresponding elementary matrix:
