Prove that (Y - Y1)'(Y - Y1)= (-Y1)'(- Y1) + (Y-P)'(Y-P) where Y = n 1 Y and 1 is an n-dimensional vector whose elements are all 1's. (Hint: Use the fact that 1'(YP)=0 without a proof.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Prove that (Y - Y1)'(Y - Y1) = (P-Y1)'( - Y1) + (Y-P)'(Y - P) where Y =
1 Y and 1 is an n-dimensional vector whose elements are all 1's. (Hint: Use the fact
that 1'(YP)=0 without a proof.)
Transcribed Image Text:Prove that (Y - Y1)'(Y - Y1) = (P-Y1)'( - Y1) + (Y-P)'(Y - P) where Y = 1 Y and 1 is an n-dimensional vector whose elements are all 1's. (Hint: Use the fact that 1'(YP)=0 without a proof.)
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