Let U=begin{bmatrix}frac{sqrt2}{2} & frac{sqrt3}{3} -frac{sqrt2}{2} & frac{sqrt3}{3} 0&-frac{sqrt3}{3} end{bmatrix} text{ and } x=begin{bmatrix}1 2 end{bmatrix} b)Compute | Ux | (it should be the same as | x |)

babeeb0oL 2021-02-26 Answered
Let U=[22332233033] and x=[12]
b)Compute Ux (it should be the same as x)
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Expert Answer

Lacey-May Snyder
Answered 2021-02-27 Author has 88 answers

Step 1
Given matrices are,
U=[22332233033] and x=[12]
Step 2 Now the multiplication of the matrices is,
Ux=[22332233033][12]=[22+23322+233233]
Step 3
Norm of the matrix is,
Ux=[22+23322+233233]=(22+233)2+(22+233)2+(233)2
=24+129+222232+24+129222232+129
=12+43+12+43+43=1+123=5
Step 4
Therefore, norm of the matrix is,
Ux=5

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