Directions 1) A=[ 1
1
​
−1
1
​
] 2) B=[ 1
3
​
​
− 3
​
1
​
] 3) C=[ 5
−2
​
7
−1
​
] 4) D=[ −4
6
​
−3
2
​
] Each of the matrices above are matrices that are to solve the system of equations, Mx= λx. For each of the matrices above, show all relevant work to complete the following steps i) Using determinants, find and simplify the characteristic equation that solves the eigen equation for the specific matrix. ii) Find both eigenvalues. iii) For each eigenvalue, find its paired eigenvector. Be sure to indicate which eigenvalue is paired with which eigenvector. iv) Demonstrate how one of the eigen pairs solves the eigen equation.