Linear Algebra · Algebra
Determinants
The determinant measures how a linear transformation scales volume. Zero determinant means the transformation collapses space into lower dimension.
WHAT STUDENTS WILL LEARN
✓Compute determinants by cofactor expansion and row operations
✓Interpret determinant as signed volume scaling
✓Apply Cramer’s Rule
✓Prove det(AB) = det(A)·det(B)
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