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- Find the magnitude of the projection of <3,-5> onto the vector <-9,-8>3 = [ ¹₂ ], b = [ ³ ], c = [ ¹₁ ], d = [¯^¹'], and v = [¯2²], 5. Given vectors a = (a) Find all real numbers x₁, x2, x3, x4, such that x₁a + x₂b + x3c + x4d = v (b) Write [at least] one sentence about what you have done above using the following mathematical term: linear combination. (c) Write [at least] one sentence about what you have done above using the following mathematical term: span.SOLVE ALL PARTS WITH CLEAR EXPLANATION Determine whether the following statements are true or false. Justify your answers. (a) When u and v are nonzero vectors, Span (u, v) contains only the line through u and the origin, and the line through v and the origin. (b) Any set of 3 vectors in R^4 must be linearly independent. (e) When there is a choice in the sequence of row operations, different sequences of row operations can produce different reduced echelon forms for the same matrix A.
