Linear Algebra with ApplicationsMacmillan, 1990 - 458 pagine |
Sommario
MATRICES AND SYSTEMS OF EQUATIONS | 1 |
DETERMINANTS | 71 |
VECTOR SPACES | 93 |
Copyright | |
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Parole e frasi comuni
A₁ A₂ algorithm b₁ b₂ c₁ c₂ coefficient matrix column space column vectors compute condition number coordinate vector corresponding defined denote determine diagonal matrix e₁ e₂ eigenspace is spanned eigenvalues eigenvector eigenvector belonging elementary matrix entries EXAMPLE Exercise factorization form a basis form an orthonormal given Gram-Schmidt process hence Householder transformation inner product space iteration least squares problem linear combination linear operator linear system linear transformation linearly independent m x n matrix MATLAB matrix representing n x n N(AT nonsingular matrix nonzero vector ordered basis orthogonal matrix orthonormal basis orthonormal set P₁ polynomials Proof R(AT real numbers relative error row echelon form row equivalent row operation row space scalar multiplication Section Show singular value decomposition subspace system Ax transition matrix u₁ u₂ upper triangular V₁ V₂ vector space x₁ Y₁ Y₂ zero λ₁