A series of linear algebra lectures given in videos: 4x4 determinant, Determinant and area of a parallelogram, Determinant as Scaling Factor and Transpose of a Matrix.

**Linear Algebra: Simpler 4x4 determinant**

Calculating a 4x4 determinant by putting in in upper triangular form first.
**Linear Algebra: Determinant and area of a parallelogram**

Realizing that the determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix

**Linear Algebra: Determinant as Scaling Factor**

Viewing the determinant of the transformation matrix as a scaling factor of regions
**Linear Algebra: Transpose of a Matrix**

Calculating a 4x4 determinant by putting in in upper triangular form first.

Realizing that the determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix

Viewing the determinant of the transformation matrix as a scaling factor of regions

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