## Linear Algebra and Its ApplicationsAn undergraduate-level text which challenges the student throughout with the development of topics in linear algebra. A study guide, instrutor's edition and instructor's technology resource manuals are also available. |

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algorithm augmented matrix calculations coefficient cofactor expansion command compute coordinate vectors corresponding Counterexample create definition determinant diagonal entries diagonal matrix diagonalizable difference equation echelon form eigenspace eigenvalues eigenvector enter equation Ax Example False formula free variables Gram-Schmidt process HP-48G Note identity matrix inner product Invertible Matrix Invertible Matrix Theorem KEY IDEAS linear algebra linear combination linear system linear transformation linearly independent lower triangular LU factorization MATLAB menu MTH MATR multiple mxn matrix Note for Section number of columns orthogonal matrix orthogonal projection orthonormal permuted pivot columns pivot positions pivot row Power Method problem produce proj quadratic form rank row operations row reduce rref scalar Section 5.3 sequence shows singular value decomposition solution set SOLUTIONS TO EXERCISES solve span stack statement Study Guide Study Tip subspace symmetric matrix tion trajectory trivial solution True vector space write