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Determinant and Area




 

Videos and lessons to help High School students learn to work with 2 × 2 matrices as a transformations of the plane, and interpret the absolute value of the determinant in terms of area.


Common Core: HSN-VM.C.12

Related Topics:
Common Core (Vector and Matrix Quantities)

Common Core for Mathematics


2D Area and determinants
Introduction to calculating area of a paralellogram in the plane using a 2×2 determinant.


Area of a triangle with determinants
This method uses the formula of the parallelogram, by moving the triangle such that one vertex is at the origin.





Determinants to Find the Area of a Triangle.
This video shows how to use determinants to find the area of a triangle where the vertices are not at the origin.


Determinants to Find the Area of a Polygon
This video shows how one can use determinants to find the area enclosed by any polygon.



 

Application of Determinants: Area on the Coordinate Plane
This video shows how to use determinants to calculate the area of a triangle and parallelogram on the coordinate plane.
The formula involves finding the determinant of a 3x3 matrix.


Determinant of a matrix as the area scale factor of the transformation.




Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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