Are you taking Linear Algebra next semester? Practice on the following: Lesson 1: Recognize the dimensions of matrices Recognize Matrix terminology Compute matrix transposes Add and Subtract matrices Multiply a matrix by a scalar Multiply matrices of appropriate dimension Differentiate and integrate matrix functions Lesson 2: Recognize the terminology of linear systems Use row operations to reduce matrices Recognize row-echelon matrices recognize reduces row-echelon matrices Determine the rank of a matrix Employ Gauss-Jordan elimination Solve linear systems with unique solutions Solve linear systems having free variables Lesson 3: Understand the idea of a matrix inverse Compute the inverse of a non-singular matrix Use the basic theorems concerning invertible matrices Determine the number of inversions in a permutation Determine the parity of a permutation Understand the geometric interpretation of the determinant Lesson 4: Use row operations to compute determinants Compute determinants for triangular matrices Understand the applications of determinants to linear systems Use assorted properties of determinant to solve problems Determine minors and cofactors of matrix elements Calculate determinants by cofactor expansions Compute matrix inverses by the adjoint method Solve linear systems with Cramers rule Lesson 5: Vector Spaces and subspaces Lesson 6: Spanning Sets, Linear Dependence, Linear Independence, Bases, and Dimensions Lesson 7: Linear Transformations Lesson 8: Eigenvalues and Eigenvectors. Thats it for now. In the Spring, Differential Equations!
Posted on: Sat, 02 Aug 2014 04:28:44 +0000
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