CUET UG · Mathematics / Applied Mathematics (Domain)
Determinants
Properties, minors, cofactors, adjoint, inverse and solving simultaneous equations by matrix method.
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Take a full mock →Q1 · Determinants · EASY
If A is a 3×3 matrix with det(A) = 5, then what is the value of det(2A)?
Q2 · Determinants · MEDIUM
Find the minor of the element 5 in the matrix [[2, 3, 4], [1, 5, 6], [7, 8, 9]].
Q3 · Determinants · HARD
The system of equations x + 2y + 3z = 6, 2x + 3y + 4z = 9, 3x + 4y + 5z = k has infinitely many solutions. Find the value of k.
Q4 · Determinants · MEDIUM
If the cofactor of element a₂₃ in a 3×3 matrix is 7, then what is the value of the minor M₂₃?
Q5 · Determinants · HARD
If A is a square matrix of order 3 and |A| = 4, then find |2A|.