Matrices And Determinants Formulas for JEE 2026
32 formulas in Matrices And Determinants (Maths) How many can you recall?
Determinant of 2×2 matrix
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Determinant of 3×3 (Sarrus / cofactor expansion)
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Determinant of product
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Area of triangle (coordinate geometry)
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Determinant zero: identical / proportional rows
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Area of triangle using determinants
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Adjoint (adjugate) matrix
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Matrix inverse via adjoint
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Singular matrix
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Cayley–Hamilton theorem
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Matrix multiplication: (AB)ᵢⱼ
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Cramer's rule (2×2 system)
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Determinant orders 2 and 3
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Matrix multiplication (row-by-column)
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Transpose identities
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Symmetric and skew-symmetric matrices
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Cramer's rule
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Rank of a matrix
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Determinant of matrix product and powers
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Inverse via adjoint
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Matrix addition and scalar multiplication
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Minor and cofactor
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Adjoint (adjugate) matrix
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Determinant properties under row operations
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Homogeneous system AX = 0
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Cayley–Hamilton theorem
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Rank of a matrix
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Eigenvalues and eigenvectors
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Consistency of AX = B (Rouché–Capelli)
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Transpose identities
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Symmetric and skew-symmetric decomposition
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Determinant under elementary row operations
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