Let a = (-8, a, 9) and b (B, -6, 6) where a and 3 are unknown real constants. We know that the vectors a and b are linearly independent. What can we say about the solutions to equation based on the given information? 1 The equation has no solution. 2 There are no real solutions but at least one complex solution can be found. 3 The only solution to the equation is (x₁, x₂) = (0,0). 4 The equation has infinitely many solutions. -1 5 One solution to the equation is ₁ = a , x2 = -b Give the number corresponding to the correct statement. Answer: x₁a+x₂b=0 Also give values to the constants a and 3 such that the vectors a and b truly are linearly independent. α = B =

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