Equivalence of Matrices. Reduction to Diagonal Form
Consider the linear substitutionwith matrix of coefficients This substitution is easy to invert. That is, while the substitution expresses x, y, and z in terms of a, b, and c, one can easily express a, b, and c in terms of x, y, and z; merely subtract the second equation of (1) from the first to find
or, in the format of a linear substitution,
KeywordsIdentity Matrix Linear Algebra Diagonal Entry Nonzero Entry Successive Pair
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
© Harold M. Edwards 1995