Question: Let {v1, . . . , vn} be an orthogonal set of vectors in Rn, and let A be the matrix with columnsv1,...,vn.ShowthatAAT isaninvertiblediagonalmatrix. Problem

Let {v1, . . . , vn} be an orthogonal set of vectors in Rn, and let A be the matrix with

columnsv1,...,vn.ShowthatAAT isaninvertiblediagonalmatrix.

Problem 8 . Give the definition of an orthogonal set of vectors . Let ( VI . .... In' be an orthogonal set of vectors in RX, and let A be the matrix with columns VI . .... Vn. Show that AAT is an invertible diagonal matrix

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