Find an orthogonal basis for the column space of the matrix to the right. -1 5 5...

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Question

Find an orthogonal basis for the column space of the matrix to the right.

An orthogonal basis for the column space of the given matrix is _______

Answer 1

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Answer #1

We use gram Schmidt orthogonalisation process here.

Note: The column vectors here are linearly independent as none of the columns can be written as a linear combination of remaining two columns.

So, the columns form the column space of the given matrix.

Answer 2

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