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Precalculus
»
H.
Matrices and Determinants
»
H.4.
Applications of Matrices and Determinants
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Unit Challenge
Cramer’s Rule
Overview
Use Cramer’s Rule to solve a 2 x 2 system
Use Cramer’s Rule to solve a 3 x 3 system
Area of a Triangle
Overview
Find the Area of a Triangle given the three vertices
Find the value of the variable so that the triangle with the given vertices has the given area
Collinear Points
Overview
Use the determinant to determine whether the given points are collinear
Find the value of the variable such that all the points are collinear
Use a determinant to find the equation of the line passing through the two points
Encoding and Decoding Messages
Overview
Write the uncoded row matrices for a message and use an invertible matrix to encode a message
Use the inverse matrix to decode a cryptogram
Collinear Points — Use the determinant to determine whether the given points are collinear
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