# Determinants: What is Determinant of a Matrix, Calculating the Determinant (For CBSE, ICSE, IAS, NET, NRA 2022)

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## What is Determinant of a Matrix?

• When a square matrix “A” of an order “n” is associated with a number, then it is titled as a determinant of the matrix.
• The determinant of a matrix is a special number that can be calculated from a square matrix.
• A Matrix is an array of numbers:
• The number involved in this square matrix can be a real number or a complex number.
• In the field of mathematics, Determinants can be used for a myriad of different calculations such as:
• Finding the area of a Triangle.
• Obtaining the solutions of linear equations in two or three variables.
• Solve Linear equations by using the inverse of a matrix
• Getting the adjoint and the inverse of a square matrix

## Calculating the Determinant

• First of all the matrix must be square (i.e.. have the same number of rows as columns) .
• Then it is just basic arithmetic.