168 Nodal and mesh analysis
7.5 SELF-ASSESSMENT TEST
1 Define a matrix.
2 Explain what is meant by a column matrix.
3 Write down the row matrix having elements 1, 7, 9, and 81.
4 Express in double subscript form the element located in the third row and
the fourth column of a matrix A.
5 For the matrices A and B state whether A + B = B + A.
6 For the matrices A and B state whether AB = BA.
7 Define the minor of an element of a matrix.
8 Define the cofactor of an element of a matrix.
9 Define the determinant of a matrix.10 State Cramer's rule.
11 Outline the method of nodal voltage analysis of electric circuits.
12 What determines the choice of the reference node in nodal voltage
analysis?
13 Define a supernode.
14 Outline the method of mesh current analysis of electric circuits.
15 Define a supermesh.
7.6 PROBLEMS
1 For matrix A - and matrix B - determine (a) A + B,
m 1
(b) A - B, (c) AS, (d) BA.
2 Write out the following set of linear equations in the matrix form AX - B:
(a) 2x-3y=l
x+5y=7
(b) x+ y+3z=7
x-2y+ z=6
-4y-3z =4.
3 Find the linear equations represented by the following matrix equations(a) [~ 53][~] = [2176]