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(Solved): 7. Find an orthogonal basis for the column space of the following matrix. Then normalize the vecto ...
7. Find an orthogonal basis for the column space of the following matrix. Then normalize the vectors to get an orthonormal basis. \[ \left[\begin{array}{rrr} 1 & 2 & 5 \\ -1 & 1 & -4 \\ -1 & 4 & -3 \\ 1 & -4 & 7 \\ 1 & 2 & 1 \end{array}\right] \]
Expert Answer
take Column space vector as{ v1,v2,v3} = {(1,?1,?1,1,1),(2,1,4,?4,2),(5,?4,?3,7,1)