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JEE Main Mathematics

Matrices and Determinants

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Types of matrices and their algebra, determinants of order two and three, the adjoint and inverse, and solving linear equations in two or three variables.

Key formula
A−1=adj⁡A∣A∣,∣AB∣=∣A∣ ∣B∣A^{-1} = \frac{\operatorname{adj} A}{|A|}, \quad |AB| = |A|\,|B|

What this unit covers

  • Matrices, algebra of matrices, types of matrices

  • Determinants and matrices of order two and three, evaluation of determinants

  • Area of triangles using determinants

  • Adjoint and inverse of a square matrix

  • Test of consistency and solution of simultaneous linear equations in two or three variables using matrices