Math 2051 Midterm Review Packages

This 53 page Midterm 1 preparation guide includes examples and all theorems, lemmas, and corollaries dealing with the following topics:

Chapter 1 Material

  1. Linear Combinations
  2. Linear Independence and Linear Dependence
  3. The Null Space of a Matrix
  4. The Column Space of a Matrix
  5. Chapter Recap

Chapter 2 Material

  1. Vector Spaces and Subspaces
  2. Linear Independence and Spanning Sets
  3. Chapter Recap

Chapter 3 Material

  1. Basis and Dimension
  2. More on Rank and Nullity
  3. Chapter Recap

Chapter 4 Material

  1. One-Sides Inverses
  2. Chapter Recap

All problems come with full solutions at a cost of $35 (taxes included).

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This 57 page Midterm 2 preparation guide includes examples and all theorems, lemmas, and corollaries dealing with the following topics:

Chapter 1 Material

  1. Linear Transformations of Euclidean n-Space
  2. Left Multiplication by a Matrix
  3. Kernel and Range
  4. One-to-One and Onto
  5. Composition of Linear Transformations

Chapter 2 Material

  1. The Matrices of a Linear Transformation
  2. The Matrix of T Relative to V and W
  3. Matrix Multiplication is Composition of Linear Transformations
  4. Matrices of the Identity
  5. Changing Coordinates
  6. Similarity of Matrices

All problems come with full solutions at a cost of $35 (taxes included).

Contact us to order your copy today!