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- Express the vector -9-7x- 15x² as a linear combination of p₁ = 2 + x +4x², p₂ = 1- x + 3x² and p3 3 + 2x + 5x²Find a general set of solution vectors x₂ = - 5x2 X₂ = x₁ + 3x₂Let a, b, and x denote vectors in R,,. (a) Simplify 3a + (5b -2a) + 2(b - a). (b) If 5x - a = 2(a + 2x),solve for x in terms of a.
- 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.hello. can you solve the questions below? Write the coordinate vector for the polynomial 1+6t^2-t^3 Write the coordinate vector for the polynomial t+2t^3 Write the coordinate vector for the polynomial 1+t+6t^2Add the vectors E = <6,4>, F=<-2,2>, G <-1,-1>.