Consider a set of three vectors, S = {1, 72, 73} in R, where 5 -...

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Consider a set of three vectors, S = {1, 72, 73} in R, where 5 - - ()- --0) --- (1) = = 0 V2 = 1 and = 0 (Show ALL the steps) 1. [2 Marks] Check if the set S is an orthonormal set. 2. [2 Marks] An orthogonal matrix is given by Compute the value of (ATA)~. 1 TT 1 1 0 TT 1 -TOL - TOT 1 1 -1 -1 -1 0 01 -1 Consider a set of three vectors, S = {1, 72, 73} in R, where 5 - - ()- --0) --- (1) = = 0 V2 = 1 and = 0 (Show ALL the steps) 1. [2 Marks] Check if the set S is an orthonormal set. 2. [2 Marks] An orthogonal matrix is given by Compute the value of (ATA)~. 1 TT 1 1 0 TT 1 -TOL - TOT 1 1 -1 -1 -1 0 01 -1