Question: For a matrix C^( x ) ,using SVD prove that the max singular value s1 of A is : s1= max{|y*Ax| : x,y C^ ,||x||2=||y||2=1

For a matrix C^( x ) ,using SVD prove that the max singular value s1 of A is :

s1= max{|y*Ax| : x,y C^ ,||x||2=||y||2=1 (|| ||2 is the 2 norm).

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