Answer to Question #62621 in Linear Algebra for Leo

Question

A. Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination.

1.-x+y+2z=1
2x+3y+z=-2
5x+4y+2z=4

2. 2x+3y+z=10
2x-3y-3z=22
4x-2y+3z=-2

B. Finding the Inverse of a Matrix.
Find the inverse of the matrix.

1. [2 0; 0 3]
2. [-1 1; 3 -3]
3. [1 2; 3 7]

C. Finding the inverse of the Square of a Matrix.
Direction: Compute A^-2.

1. A = [0 -2; -1 3]
2. A = [2 7; -5 6]
3. A = [-2 0 0; 0 1 0; 0 0 3]