Determine an orthonormal basis for the 3-dimensional vector space U = Span < { 12 4...

 

Transcribed Image Text:

Determine an orthonormal basis for the 3-dimensional vector space U = Span < { 12 4 1 4 3 32 with respect to the inner product 3 4 21 (A, B) Trace(ATB) = assuming the usual operations of matrix addition and scalar multiplication. Write final answer in the form {C1, C2, C3} = a2 b b2 C1 C2 as a4 a3 b5 b4 b3 C5 C4 C3 where the a;'s, bi's and ci's are all integers. your Determine an orthonormal basis for the 3-dimensional vector space U = Span < { 12 4 1 4 3 32 with respect to the inner product 3 4 21 (A, B) Trace(ATB) = assuming the usual operations of matrix addition and scalar multiplication. Write final answer in the form {C1, C2, C3} = a2 b b2 C1 C2 as a4 a3 b5 b4 b3 C5 C4 C3 where the a;'s, bi's and ci's are all integers. your