Page 83 - Standard Handbook Of Petroleum & Natural Gas Engineering
P. 83
72 Mathematics
and
The transpose of A if
is
A square matrix C is orthogonal if
The determinant of a square matrix C (det C) is defined as the sum of all
possible products found by taking one element from each row in order from
the top and one element from each column, the sign of each product multiplied
by (-ly, where r is the number of times the column index decreases in the product.
For a 2 x 2 matrix
det C = cllcpB - c12c21
(Also see discussion of determinants in “Algebra.”)
Given a set of simultaneous equations, for example, four equations in four
unknowns:
