Can you please answer all 4 parts with details, Thanks
Consider the vectors u - (1,0,1), v- (5,5,0) and w- (2,5,-3) in IR (a) Find all numbers a, b and c such that (b) Prove that u, v and w are linearly dependent. (c) Let A be the 3x 3 matrix whose columns are u, v and w. Let b R* be a vector. Suppose that the linear system with augmented matrix [Alb] has at least one solution. Prove that there must be infinitely many solutions Calculus 0.6 4 0.2 0.2 0.4 0.6 0.8 0.2 4 0.6 1. The graph above shows a cardioid, a curve given by the equation Use implicit differentiation to find the gradient of the curve at the point (0, 3)
