Tr[(({{2, -3}, {8, -7}}))]

Det[(({{2, 3}, {1, 4}}))]

Inverse[(({{7, 4}, {2, 1}}))]

Transpose[(({{-4, 9}, {2, 0}}))]

Eigenvalues[(({{2, 2, 1}, {1, 3, 1}, {1, 2, 2}}))]

Eigenvectors[(({{2, 2, 1}, {1, 3, 1}, {1, 2, 2}}))]

LinearSolve[(({{2, 3}, {1, 1}})),(({{5}, {2}}))]

Solve[{2  x + 3  y == 5, 4  x - 3  y == 8}, {x, 
        y}]

RowReduce[(({{2, 3}, {1, 1}}))]

RowReduce[(({{3, 3}, {1, 1}}))]