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MATH-1553 Introduction to Linear Algebra

This is the page for the coordinated course MATH-1553 Introduction to Linear Algebra Studio Sections E01 at Georgia Tech. Here you can find some resources that may help you review.

My office hours in Summer 2025 are 3-5 pm every Tuesday in the Math Lab, located in Clough 280. If this time doesn’t work for you, you can still go to the Math Lab to get help with any questions about MATH-1553. You can find the detailed schedule for the Math Lab here.

However, you can always schedule a meeting with me in person or online. My email address is rhuang346@gatech.edu. You can view my schedule at the ‘My Schedule’ tab above.

Summarized Notes from past studios

Section NumberTopicNotes
1.1System of Equationsw1
1.2-1.3Row Reduction
Parametric Form
w2
2.2-2.3,3.1-3.2The Inverse of a Matrix
Characterizations of Invertible Matrices
Introduction to Determinants
Properties of Determinants
w3
1.3,1.4,1.7Vector Equations
The Matrix Equation Ax=b
Linear Independence
w5
1.8-1.9Introduction to Linear Transformation
The Matrix of a Linear Transformation
w6
5.1-5.2Eigenvalues and eigenvectors
The characteristic polynomial
Notes
5.4-5.5Diagonalization
Complex eigenvalues
Notes
5.6Stochastic MatrixNotes
6.1-6.5Dot products and orthogonality
Orthogonal components
Orthogonal projections
Least Squares
Notes
Notes from past studios

Other Helpful Resources

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