-x+3y + z =-7
b. What is the inverse of this matrix?
c. What is the transpose of this matrix?
d. Find the determinant for this matrix.
(2) A = [2 -3] [-4 1]
[7 4] and B=[ 6 5]
Calculate the following for:
c. A T
3. Solve the following linear system using Gaussian elimination.
3x + y-z =.5
-4x + y =6
6x = 2y + 3z =2
4. Solve the following linear system for x using Cramer's rule.
x + 2y-z = -22
2x - 6y + 8z = 74
-x -2y + 4z = 29
This provides several examples of working with matrices: Gaussian elimination, Cramer's rule, matrix operations, coefficient matrix, inverse, transpose, and determinant.