Determining othronormal basis

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Reference no: EM13134544

Consider the following three vectors in R^3:

x_1=(1, -1, 0, 2)

x_2=( 1,1,1,0)

x_3= (-1,-1,2,0)

a) Verify that {x_1, x_2, x_3} are orthogonal with the standard inner product in R^4

b) Find a nonzero vector x_4 such that {x_1, x_2, x_3, x_4} is a set of mutually orthogonal vectors.

c) Convert the resulting set into an orthonormal basis for R^4

Reference no: EM13134544

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