liner algebra questions

Assignment #2 (Summer 2022) MTH301 Student Name:——————————– Student ID:——————————————– I) Determine whether S is a basis for the indicated vector space : 1) 𝑆 = {(3, −2), (4,5)}𝑓𝑜𝑟 ℝ 2) 𝑆 = {(1,5,3), (0,1,2), (0,0,6)}𝑓𝑜𝑟 ℝ II) Find The following: a) Find the length of the vectors : 1)V=(1,2,2) 2)v=(4,3) b) The distance between U and V : u=(1,-1) , v=(-1,1) c) State why ⟨𝒖,𝒗⟩ is not an inner product for 𝑢 = (𝑢 , 𝑢 ) 𝑎𝑛𝑑 𝑣 = (𝑣 , 𝑣 ) 𝑖𝑛 ℝ

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