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Matrix Notation and Elementary Operations
Introduces matrix dimensions, entries, addition, subtraction, scalar multiplication, and zero matrices.
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AMA1751 · Chapter overview
Matrices
Develops matrix operations, transpose identities, block structures, inverses, and matrix equations.
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Matrix Multiplication, Powers and Transpose
Computes matrix products and powers and applies algebraic and transpose identities.
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Partitioned and Block Matrices
Partitions matrices into compatible blocks and performs block addition and multiplication.
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Matrix Inverses and Solving Equations
Uses SymPy to find inverses and solve Ax=b, with a short row-operation recipe and the inverse rules needed for Midterm questions.
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Linear Algebra · AMA1751