MATH 3000 Quiz: MATH 331 Mizzou Quiz 4 Solutions
Document Summary
1b). (4 points) use your work from (1a) to give all the solutions to the system of equations x1 + 3x2 + x3 = 5. The matrix in part (1a) is the augmented matrix for this system of equations, so the work done above shows that x3 is the free variable, and x1 = 4x3 1, and x2 = x3 + 2. We should really write the solutions as column vectors. Here are two ways to write the solution set: (4 points) find 2 2 matrices a and b that both are not the zero matrix fow which. There are in nitely many correct answers to this problem. The main point is that unlike with numbers, two non-zero matrices can multiply to the zero matrix. 0 0i and b = h 1 0. 0 0i: (4 points) let"s prove that the inverse of a square matrix a is unique (if a is invertible).
