Linear algebra and its applications 
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Review: Linear Algebra and Its Applications
User Review  Gaurav Singh chauhan  GoodreadsUltimate book for Linear Algebra, its more on the empirical side, but also manages to touch theory on the right sides. Read full review
Review: Linear Algebra and Its Applications
User Review  Yexi Jiang  GoodreadsA beginner book about linear algebra that tells you why linear algebra is like this. Read full review
Contents
THE THEORY OF SIMULTANEOUS  44 
ORTHOGONAL PROJECTIONS AND LEAST SQUARES  96 
DETERMINANTS  146 
Copyright  
7 other sections not shown
Common terms and phrases
algorithm apply axis backsubstitution basis choose coefficient coeﬂicient column space combination completely components compute condition number constraints corner corresponding cost deﬁned determinant differential equation dimension eigen eigenvalues eigenvectors equal error exactly example EXERCISE factor feasible set ﬁnal ﬁnally ﬁnd ﬁnite ﬁrst column ﬁrst equation ﬁrst row formula free variables Gaussian elimination gives Gram—Schmidt Hermitian identity matrix inequality inﬁnitely inner product inverse Jordan form least squares length linear algebra linear programming linearly independent lower triangular main diagonal matrix multiplication minimize minimum nonnegative nonsingular nonzero nullspace optimal original orthogonal matrix orthonormal permutation permutation matrix perpendicular pivots plane polynomial positive deﬁnite problem projection proof properties pseudoinverse rank row exchanges row space satisﬁes simplex method singular solution solve spanned strategy subspace subtracted Suppose symmetric matrices symmetric matrix system Ax theorem tion transformation transpose unitary unknowns upper triangular vector space xTAx