2x1 x2 3x3 + x4 = 0 x1 + 4x2 6x3 + 5x4 = 0. 4x1 + x2 9x3 + 5x4 = 0: find an equation relating a, b, and c such that the system of equations represented by the following augmented matrix is consistent if and only if your equation holds: Is a plane through the origin in r3. Give an equation for this plane in the form ax1 + bx2 + cx3 = 0 for some explicit constants a, b, and c: solve the matrix-vector equation ax = b where. 2 4 3: write the set of solutions to the equation ax = b in parametric vector form, where. 1: (new) (a) solve for the value of a such that the following vectors are linearly dependent: 4 v2 = v3 = (b) with the constant a as in the previous part, nd a nontrivial linear dependence among v1, v2, and v3.
