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Gram-Schmidt Algorithm

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S=span{x_1, x_2, x_3}, where x_1=(1,1,1,-1)^T, x_2=(2,-1,-1,1)^T, and x_3=(-1,2,2,1)^T.

1) use Gram-Schmidt algorithm to the sequence {x_1,x_2, x_3} to find an orthonormal basis of S

2) use the result above to find the QR factorization of the matrix A=(x_1l x_2l x_3).

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This solution provides a tutorial that of the Gram-Schmidt Algorithm that is clearly articulated in a step-by-step mathematical explanation.

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