Please solve ALL THE QUESTIONS WITH STEP BY STEP EXPLANATION. DON'T SKIP ANY QUESTION. Thank you

1 2 3 Q1. Find the following, A:[ 6 7 1] 3 1 4 (i) Find all the minors of A (ii) Find all the cofactors of A (iii) Find Adj of A (iv) Find {A4} 02. Solve the following System using x=A'1 b x1 + 3x2 + x3 = 4- 2x1 + 2x; + x3 = 1 2x1 +3x2 +x3 = 3 C13. Solve the following System using LU factorization x1 + 3x2 + x3 = 4 2x1 + 2x2 + x3 = 1 2x1 +3x2 +x3 = 3 Q4. Determine whether or not, the vector (2, 3, -7, 3) is a linear combination of {2: 1.! 013)! (31-11512) & (-1: 0: 2.! 1) Q5. Solve the following System using Gauss -Jordan elimination x1 + x2 + 2x; = 8 x1 2x2 + 3x3 = 1 3x1 7x; + 4x3 = 10