Linear Algebra: Properties of Injective and Surjective Functions

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Explores applications and examples of linear algebra, including unique images and constant replication.

Explores operations on sets, Cartesian products, and functions' properties.

Explains the criteria for a strictly monotone function to be injective and the properties of reciprocal functions.

Explores injective and surjective linear transformations, kernel, image, and matrix operations.

Explores functions, limits, continuity, differentiability, and important notions of limits and divergence.

Explains injective, surjective, and bijective functions using examples and graphs.

Covers the composition of functions and reciprocal functions, with examples and formulas on logarithms and bijective functions.

Covers the basic definitions and properties of real functions, including monotonicity, periodicity, and extrema.

Covers function composition, limits, bijective functions, and the characterization of limits using sequences.