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Write Kirchoff's Loop Rule Equations for this circuit. R2 R5 V1 18 V, V2-30 V, V3 18 V R2 R5 V1 18 V, V2-30 V, V3 18 V
2.12 In the circuit in Fig. 2.76, obtain vi, v2, and v3. +30 V- lp ent Cly -50 V +20 V- + 12 ify V1 u3 40 V
(1) Prove that QV2+3) Q(V2, V3) (2) Prove that (Q(V2, v3):Q) 4 (3) Find the minimal polynomial of V2 + V/3 overQ.
MILIOIULUI CICUPIUNTULL LEIICIULUI UILIIJUILLIUI. 2. Find the currents (11,12,13) and the voltages (V1, V2,V3) for the circuit shown below. 20 i iz 40 Iliz + + V- V3 5 V >80 3V
Let V1 = (1,2,0)^T, V2 = (2,4,2)^T, and V3 = (0,2,7)T and A = [V1,V2,V3] 5) (20 points) Let vi = (1,2,0)T, v2 = (2,4, 2)T and v3 = (0, 2.7)T and A- [v1, v2, v3 a) Find an orthonormal basis for the Col(A) b) Find a QR factorization of A. c) Show that A is symmetric and find the quadratic form whose standard matrix is A
jj 4) V1 = 3.167 V V2 = 1.837 V V3 = 1.66 V 10 ks2 20 kΩ +V1- -V2+ I,
7. Find voltages at nodes 1,2,3, and 4 in the given circuit. 12V V1 V2 V3 Va 40 40 R5 20 50 3A 4A V4 2Va
8. Given that B = {v1, v2, v3} is a basis for a vector space V . Determine if S={v1+v2, v2−v3, v1+2v2+3v3}isalsoabasisforV.
8. Given that B = {V1, V2, V3} is a basis for a vector space V. Determine if S = {V1 + V2, V2 – v3, Vi + 2V2 + 3v3} is also a basis for V.
In the given circuit, obtain V1, V2, and V3. Assume A = 130 V, B = 110 V, C = 80 V, and D = 140 V. + D - - B + + C- + 12 + + + A V1 13 The unknown voltages V1, V2, and V3 are V V, and V, respectively