Matrices And Determinants: quiz
80 questions across 32/32/16 (E/M/H).
32 formulas in this quiz
Determinant of 2×2 matrix
2 QsDeterminant of 3×3 (Sarrus / cofactor expansion)
2 QsDeterminant of product
2 QsArea of triangle (coordinate geometry)
2 QsDeterminant zero: identical / proportional rows
2 QsArea of triangle using determinants
2 QsAdjoint (adjugate) matrix
2 QsMatrix inverse via adjoint
2 QsSingular matrix
2 QsCayley–Hamilton theorem
2 QsMatrix multiplication: (AB)ᵢⱼ
2 QsCramer's rule (2×2 system)
2 QsDeterminant orders 2 and 3
3 QsMatrix multiplication (row-by-column)
3 QsTranspose identities
3 QsSymmetric and skew-symmetric matrices
3 QsCramer's rule
3 QsRank of a matrix
3 QsDeterminant of matrix product and powers
3 QsInverse via adjoint
3 QsMatrix addition and scalar multiplication
3 QsMinor and cofactor
3 QsAdjoint (adjugate) matrix
3 QsDeterminant properties under row operations
3 QsHomogeneous system AX = 0
3 QsCayley–Hamilton theorem
3 QsRank of a matrix
2 QsEigenvalues and eigenvectors
3 QsConsistency of AX = B (Rouché–Capelli)
3 QsTranspose identities
2 QsSymmetric and skew-symmetric decomposition
2 QsDeterminant under elementary row operations
2 Qs