Find the equation satisfied by the squares of the singular values of the matrix associated with...
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Find the equation satisfied by the squares of the singular values of the matrix associated with the following over-determined set of equations: 2x + 3y +z = 0 x- y - z = 1 2x + y = 0 2y + z = -2. Show that one of the singular values is close to zero. Determine the two larger singular values by an appropriate iteration process and the smallest one by indirect calculation. Find the equation satisfied by the squares of the singular values of the matrix associated with the following over-determined set of equations: 2x + 3y +z = 0 x- y - z = 1 2x + y = 0 2y + z = -2. Show that one of the singular values is close to zero. Determine the two larger singular values by an appropriate iteration process and the smallest one by indirect calculation.
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