Abstract : A set of matrices is defined, and the complete solution of each matrix is given. The matrices have arbitrary dimension, and a large nuber of parameters. By adjusting these parameters, a matrix of arbitrary dimension can be constructed which has two eigenvectos tht are nearly coincident, which is derogatory (has fewer than the maximum possible number of eigenvectors), or is s nearly singular as desired. Thus a set of matrices is available which forms a convenient set of check matrices for testing computer programs which purport to solve or invert a matrix. The matrices of the set have certain properties of regularity. For selected values of the parameters, the matrices appear as variance-covariance matices in statistics. In particular cases, the eigenvalues (but not the eigenvectors) and the determinants were found. (Autho)
['J. L. Brenner']
A set of matrices for testing computer programs