Given the standard basis {₁,..., en} for the real vector space R" complete with the product in Euclid. It is also given x ER". For each i E {1,..., n}, let 0, be the angle between x and ē. Prove that cos²0₁ + + cos²0n = 1. ***
Given the standard basis {₁,..., en} for the real vector space R" complete with the product in Euclid. It is also given x ER". For each i E {1,..., n}, let 0, be the angle between x and ē. Prove that cos²0₁ + + cos²0n = 1. ***
Given the standard basis {₁,..., en} for the real vector space R" complete with the product in Euclid. It is also given x ER". For each i E {1,..., n}, let 0, be the angle between x and ē. Prove that cos²0₁ + + cos²0n = 1. ***
Transcribed Image Text:Given the standard basis {₁,..., en} for the real vector space n
complete with the product in Euclid. It is also given x ER". For each
i E {1,..., n}, let 0, be the angle between x and ē. Prove that cos²0₁ +
+ cos²0n = 1.
***
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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