Set up the equations to determine the current I1 I2 and I3 f

Set up the equations to determine the current I_1, I_2, and I_3 for the electrical network shown in figure below. Do not compute. Find the determinant of by the method of expansion by cofactors. by using elementary row or column operations. Find the eigenvalues and corresponding eigenvectors of the matrix Given the det(A) = 7, where A =, find the determinant of the following. Given det [(2A)^-1] = 8 for a 2x2 square matrix A, find det A. An invertible matrix A is called orthogonal if A^-1 = A^T. Determine whether the matrix B = is orthogonal. Determine whether S is a subspace of the vector space. S = {(x, y, x+2y) | x, y are real numbers} S = |a + b + c + d = 1, a. b. c. d: real numbers}

Solution

KVL in loop1 :

16 - i1R1 -i2R2 =0

i1R1 + i2R2 = 16

4i1 +i2 = 16 -----(1)

Applying KVL in Loop -2

-i2R2 +8 -i3R3 =0

8 = i2R2 + i3R3

8 = i2 +4i3 -----(2)

Applying KCL at left side node:

i3 + i1= i2 -----(3)

We have three equations and three unknown i1, i2 and i3