Matrix Algebra problems.

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Matrix Algebra A= 31 -6 2 1 4. Use method of Gaussian elimination to find inverse of matrix D, E, F. Solve by hand. 5. Compute Tr(D) (trace of matrix D), Tr(A) 6. Find the determinants of D, E, F using the Sarrus formula. 7. Use method of Gaussian elimination to find det(D), det(E), det(F). Solve by hand. 8. If A and B are any symmetric matrices (AT=A, B-B) , show that A*B=(B*A