Question

Kirchboffs Current Law A'y 0 says that current in=current out at every node at the four nodes (arows show the positive direction of each y). Reduce A' to t At node I this is g + Write the four equations for Kirchholf's La 32 and find three special solutions in the nullspace of A (4 by 6 matrix). 0 0 1 4 Am -1 -1 % A 0 -1 0 0 1 -1 1 free variable to 1. Set the other free variables to zero.) By further row operations on each U in Problem 1, find the reduced echelon form R. True or false with a reason: The nullspace of R equals the nullspace of U. nd R 3 n For an m bu inne tn Am- av u line of multiples of (1, 1, 1, 1). space comains (1,1,1) anu WIIUSC n Construct a 2 by 2 matrix whose nullspace equals its column space. T 20 nllenana that aale ite anluma en Wh doae nn 3 hu 3 matriv hava

Answer 1

Solution for 20.

consider Azlor suppose no = (9) such that Ax=0 10.)(9) =) = b=0 & Null space of A is ft (6): ttlR} Also column space of A={+(6): telr? 80 A = [o 17 has equal column space and null space I O o