xx:=(({{19, 22, 6, 3, 2, 20}, {12, 6, 9, 15, 13, 5}}));

MatrixForm[xx.(({{1/6}, {1/6}, {1/6}, {1/6}, {1/6}, {1/6}}))]

xxx:=xx-(({{12, 12, 12, 12, 12, 12}, {10, 10, 10, 10, 10, 10}}));

MatrixForm[xxx]

ss:=(1/5)xxx.Transpose[xxx]

MatrixForm[ss]

CharacteristicPolynomial[ss,t]

Eigenvalues[ss]

N[Eigenvalues[ss]]

N[(Sqrt[1954]),10]

MatrixForm[ss-95.20407221060069(({{1, 0}, {0, 1}}))]

MatrixForm[RowReduce[ss-95.20407221060069(({{1, 0}, {0, 1}}))]]

N[1+2.93348^2,1000]

NumberForm[9.6053049104`,100]

N[(Sqrt[9.6053049104])]

N[2.9334841559481735/3.0992426349674527]

N[-1/3.0992426349674527]

MatrixForm[ss-6.795927789399315(({{1, 0}, {0, 1}}))]

MatrixForm[RowReduce[ss-6.795927789399315(({{1, 0}, {0, 1}}))]]

N[1+0.340891563355581^2]

N[(Sqrt[1.116207057967012])]

N[-0.340891563355581`/1.0565070080065784`]

N[-1/1.0565070080065784`]