DETERMINANTS AND MATRICES

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Today we shall learn about Determinants and Matrices

DETERMINANT

The determinant is a special number associated with any Square Matrix. The fundamental geometric meaning of a determinant is a scale factor for measure when the matrix is regarded as a linear transformation. The determinant of matrices is denoted det(A), or without parentheses: det A. Determinants are mathematical objects that are very useful in the analysis and solution of systems of Linear Equations.

If the matrices determinant is 0, the matrix is said to be singular, and if the determinant is 1, the matrix is said to be unimodular.

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MATRICES

A matrix is simply a set of numbers arranged in a rectangular table. It has 2 rows and 4 columns. We usually write matrices inside parentheses ( ) or brackets [ ]. We can add, subtract and multiply matrices together, under certain conditions. Matrices are used to solve Simultaneous Equations.