Linear Algebra and Its ApplicationsThis text combines the underlying theory discussions with examples from electrical engineering, computer science, physics, biology, and economics. |
Contents
1 | 14 |
THE THEORY OF SIMULTANEOUS | 44 |
ORTHOGONAL PROJECTIONS AND LEAST SQUARES | 96 |
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A₁ algorithm apply axis B-¹u b₁ basis choose coefficients column space combination completely components compute condition number constraints convergence corner corresponding cost determinant diagonal entries difference equation differential equation dimension eigen eigenvalues eigenvectors equal exactly example EXERCISE factor feasible set finite formula Gaussian elimination gives Hermitian identity inequalities inner product inverse Jordan form least squares linear algebra linear programming linearly main diagonal minimize minimum multiple nonnegative nonsingular nonzero nullspace optimal original orthogonal orthogonal matrix orthonormal permutation pivots plane polynomial positive definite problem proof properties pseudoinverse quadratic rank Rayleigh quotient row exchanges row space simplex method singular solution solve spanned step strategy submatrix subspace subtracted Suppose symmetric matrix theorem tion transformation transpose unitary unitary matrix upper triangular v₁ variables w₁ x₁ xTAx y₁ zero λ₁ λε λι