(d) Suppose y is a least squares solution to Cx = d (for some matrix C and vector d). Show that d-Cy is orthogonal to the column space of C. Do not use the computational results from this problem to prove this.

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
Section3.CM: Cumulative Review
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(d) Suppose y is a least squares solution to Cx = d (for some matrix C and vector d). Show that d-Cy
is orthogonal to the column space of C. Do not use the computational results from this problem to
prove this.
Transcribed Image Text:(d) Suppose y is a least squares solution to Cx = d (for some matrix C and vector d). Show that d-Cy is orthogonal to the column space of C. Do not use the computational results from this problem to prove this.
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