Matrix inequality

  • Thread starter hayu601
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  • #1
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I am puzzled about this simple case,

Suppose we have (A+B)T(A+B) <= (A+B1)T(A+B1),

Can we say something about the relation between BTB and B1TB1?

For example, is it correct if I say BTB <= B1TB1?
 

Answers and Replies

  • #2
marcusl
Science Advisor
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Expand all the terms on each side. You'll see that
[tex]A^T A[/tex]
cancels, leaving three additional terms on each side. Does your hypothesis follow?
 

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