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Linear Algebra: Conditions for Function Invertibility

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A series of linear algebra lectures given in videos.

Linear Algebra: Exploring the solution set of Ax = b
Exploring the solution set of Ax=b (non homogeneous equations)
Linear Algebra: Matrix condition for one-to-one transformation
Showing that the rank of the of an mxn transformation matrix has to be an for the transformation to be one-to-one (injective)

Linear Algebra: Simplifying conditions for invertibility
Showing that a transformation is invertible if and only if rref(A) is equal to the identity matrix
Linear Algebra: Showing that Inverses are Linear
Showing that inverse transformations are also linear

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