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| # | Question | Subject and topic | Difficulty |
|---|---|---|---|
| 4281 | How many different orders are possible for a matrix having 12 elements? | Mathematics/Applied Mathematics Matrices and their types |
Medium |
| 4282 | A 2 × 2 matrix has elements aᵢⱼ = (i + 2j)²/2. What is a₂₁? | Mathematics/Applied Mathematics Matrices and their types |
Medium |
| 4283 | For A = [[1, 5], [3, 2]] (rows listed), the symmetric part ½(A + Aᵀ) is | Mathematics/Applied Mathematics Matrices and their types |
Hard |
| 4284 | If A is of order 2 × 3 and B is of order 3 × 4, the order of AB is | Mathematics/Applied Mathematics Algebra of matrices |
Easy |
| 4285 | If A = [[1, 2], [3, 4]] and I is the 2 × 2 identity matrix, then A + 2I equals | Mathematics/Applied Mathematics Algebra of matrices |
Easy |
| 4286 | If A = [[1, 2], [0, 1]], then A² equals | Mathematics/Applied Mathematics Algebra of matrices |
Medium |
| 4287 | For any two square matrices A and B of the same order, which statement is always true? | Mathematics/Applied Mathematics Algebra of matrices |
Medium |
| 4288 | If A = [[1, 1], [1, 1]], then A⁵ equals | Mathematics/Applied Mathematics Algebra of matrices |
Hard |
| 4289 | The value of the determinant of [[2, 3], [1, 4]] is | Mathematics/Applied Mathematics Determinants |
Easy |
| 4290 | If two rows of a square matrix are identical, its determinant is | Mathematics/Applied Mathematics Determinants |
Easy |
| 4291 | A is a 3 × 3 matrix with |A| = 4. What is |2A|? | Mathematics/Applied Mathematics Determinants |
Medium |
| 4292 | What is the area of the triangle with vertices (1, 0), (6, 0) and (4, 3)? | Mathematics/Applied Mathematics Determinants |
Medium |
| 4293 | In the matrix [[1, 2, 3], [4, 5, 6], [7, 8, 10]], what is the cofactor of the element in row 1, column 2? | Mathematics/Applied Mathematics Determinants |
Hard |
| 4294 | A square matrix A has an inverse if and only if | Mathematics/Applied Mathematics Adjoint and inverse of a matrix |
Easy |
| 4295 | The inverse of [[2, 1], [5, 3]] is | Mathematics/Applied Mathematics Adjoint and inverse of a matrix |
Easy |
| 4296 | If A is a 3 × 3 matrix with |A| = 5, then |adj A| equals | Mathematics/Applied Mathematics Adjoint and inverse of a matrix |
Medium |
| 4297 | If A and B are invertible matrices of the same order, then (AB)⁻¹ equals | Mathematics/Applied Mathematics Adjoint and inverse of a matrix |
Medium |
| 4298 | A = [[3, 1], [−1, 2]] satisfies A² − 5A + 7I = O. Which expression gives A⁻¹? | Mathematics/Applied Mathematics Adjoint and inverse of a matrix |
Hard |
| 4299 | If |A| ≠ 0 for the system AX = B, then the system | Mathematics/Applied Mathematics Solving systems of linear equations |
Easy |
| 4300 | The solution of x + y = 5 and x − y = 1 is | Mathematics/Applied Mathematics Solving systems of linear equations |
Easy |