Determinants — Formula Sheet
Punjab Board · Class 12 · Mathematics
4 formulas from Determinants (Punjab Board Class 12 Mathematics) on one page, grouped by topic. Part of the Punjab Board Class 12 Mathematics syllabus.
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Formulas and Key Relations
Introduction to Determinants
Every square matrix A = [aij] of order n has an associated number called its determinant, denoted by |A|, det(A), or Δ
Minors and Cofactors
Cofactor Aij = (-1)^(i+j) × Mij — cofactor is minor with appropriate sign
Area of a Triangle Using Determinants
Area Δ = (1/2)|det| where det is the 3×3 determinant with the coordinates
Key relations
For a matrix A = [a] of order 1×1, the determinant is simply |A| = a.
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