Recent content by otapia13

Homework Statement For what value(s) of λ is the set of vectors {(λ^2-5, 1, 0), (2, -2, 3), (2, -3, -3)} form a basis of ℝ^3Homework Equations in order for a vector to form a basis it has to span R3 and the set has to be linearly independent.The Attempt at a Solution i tried doing row...

Find all values a (alpha) for which the resulting system has a) no solution, b) a unique solution c) infinitely many solutions. x - y - az = -1 2x +y + az = -1 -x + y + (a^2 - 2)z = a + 2 attempt: put it in matrix form and row-reduce 1 -1 -a : -1 2 1 a : -1 -1 1 a^2-2 : a+2 after row...