Use the Gram-Schmidt process to compute an orthogonal basis for the following set of vectors:

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Step-by-Step Answer.

1. Use the Gram-Schmidt process to compute an orthogonal basis for the following set of vectors:

2. Find the eigenvectors and eigenvalues of the following matrix. Diagonalize the matrix if possible.

3. Find the eigenvectors and eigenvalues of the following matrix. Diagonalize the matrix if possible.

4. Find the eigenvectors and eigenvalues of the following matrix. Diagonalize the matrix if possible.

5. Use Gram-Schmidt process to compute an orthogonal basis for the following set of vectors. Use the first vector as a starting point for the orthonormal basis that you find:

6. Use Gram-Schmidt process to compute an orthogonal basis for the following set of vectors. Use the first vector as a starting point for the orthonormal basis that you find: