Question: any help please (8) Let A be an invertible n x n matrix and u and v be vectors in R (expressed as n x

any help please

(8) Let A be an invertible n x n matrix and u and v be vectors in R" (expressed as n x 1 matrices). Prove that A= Au . AV = u A Av is an inner product on R". (9) Prove the Cauchy-Schwarz Inequality that if u and v are vectors in a real inner product space V, then | IS lulllvl

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