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Check the true statements below: A. The orthogonal projection of y onto v is the same...

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Advance Math

Check the true statements below:

A. The orthogonal projection of y onto v is the same as theorthogonal projection of y onto cv whenever c≠0.

B. If the columns of an m×n matrix A are orthonormal, then thelinear mapping x→Ax preserves lengths.

C. If a set S={u1,...,up} has the property that ui⋅uj=0 wheneveri≠j, then S is an orthonormal set.

D. Not every orthogonal set in Rn is a linearly independentset.

E. An orthogonal matrix is invertible.

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