JEE MAIN · MATHEMATICS · MATRICES AND DETERMINANTS
JEE Main Matrices and Determinants Questions & Solutions
16 solved questions on Matrices and Determinants, ranging from easy to JEE-Advanced-flavour hard. Click any to see the full solution.
16 solved questions on Matrices and Determinants, ranging from easy to JEE-Advanced-flavour hard. Click any to see the full solution.
For a homogeneous system AX = 0, non-trivial solutions exist iff det(A) = 0.
View solution →The number of equations in a consistent system with 3 variables and rank 2 is $x$ or more (minimum).
View solution →The system AX = B has a unique solution iff:
View solution →Using Cramer's rule, the solution to x + y = 5, x - y = 1 is:
View solution →(AB)⁻¹ = B⁻¹ A⁻¹ for all invertible matrices A and B.
View solution →The inverse of a 2×2 matrix [[a, b], [c, d]] is (1/(ad-bc)) × [[d, -b], [-c, a]]. If ad-bc = 0, the inverse $x$ (exists/does not exist).
View solution →If A² = A for a square matrix A, then A is:
View solution →If A is invertible, then A⁻¹ =
View solution →If rows of a determinant are identical, the determinant value is 0.
View solution →The determinant of an upper triangular matrix is the $x$ of its diagonal elements.
View solution →If A is singular (det=0), then AX = B has:
View solution →If A is a 3×3 matrix with det(A) = 2, then det(2A) =
View solution →Matrix multiplication is commutative: AB = BA for all square matrices A and B.
View solution →The maximum rank of a 3×4 matrix is $x$.
View solution →If A = [1 2; 3 4], then A + Aᵀ is:
View solution →If A is a 3×2 matrix and B is a 2×3 matrix, then BA is a:
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