Math Tutoring on Finding and Using Determinants
A Determinant is a real number associated with a square matrix. The determinant of a square matrix A is denoted by "det A" or |A|.
Properties of Determinants:
1) The determinant is not a matrix, it is a real number.
2) The determinant can be a negative number.
3) The determinant exists for square matrices only like 2 x 2, 3 x 3, ... n x n.
4) The inverse of a matrix exists only if the determinant is not zero.
Determinants can be used to solve a linear system of equations. The method is called Cramer's Rule.
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1. What is the difference between a matrix and a determinant?
2. Compare Diagonal Method and Cofactor Method.
3. What is Cramer's Rule?
4. How to apply Determinants for finding areas?
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