Vectors — and an Application to Least Squares
نویسنده
چکیده
This is also called the dot product and written X ·Y . The inner product of two vectors is a number, not another vector. In particular, we have the vital identity ‖X‖2 = 〈X , X〉 relating the inner product and norm. For added clarity, it is sometimes useful to write the inner product in Rn as 〈X , Y 〉Rn . Example: In R4 , if X = (1,2,−2,0) and Y = (−1,2,3,4) , then 〈X , Y 〉 = (1)(−1) + (2)(2)+(−2)(3)+(0)(4) =−3.
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