CBSE Class 12 Maths – Determinants

Express the system as AX = B. If |A| ≠ 0, compute A⁻¹ = (1/|A|) adj(A) and obtain the unique solution vector via X = A⁻¹B.

A square matrix A is singular if its determinant |A| = 0. A singular matrix has no multiplicative inverse.

Compute the cofactor of each element to form the cofactor matrix, and then take the transpose of the cofactor matrix to get adj(A).

TutorVertex offers comprehensive theory, matrix inversion methods, and board examination materials for Determinants.