Q:

Solution:

            Note down that this network contains three closed paths, the right loop, the left loop & outer loop.

                                    By applying KVL to left loop

                                                       VR₁+ VR₄- 16 - 24 = 0

                        KVL equation for right loop begins at point B.

                                              VR₂ + VR₃ +8 +16 -VR₄=0

                        The equation for outer loop begins at point A

                                                VR₁ +VR₂ +VR₃ + 8 - 24 =0

Note down that if we add first two equations, we will obtain the third equation. Therefore these three equations are not linearly independent.