Precalculus » H. Matrices and Determinants » H.4. Applications of Matrices and Determinants

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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