Question bank

Filter questions by subject, topic and difficulty. Open any question to answer it and see the explanation.

Clear
301 questions found · practise this subject as a set Show 20 · 50 per page
#QuestionSubject and topicDifficulty
21 The value of tan⁻¹2 + tan⁻¹3 is Mathematics/Applied Mathematics
Inverse trigonometric functions		 Hard
22 How many elements does a matrix of order 2 × 3 have? Mathematics/Applied Mathematics
Matrices and their types		 Easy
23 The diagonal elements of every skew-symmetric matrix are Mathematics/Applied Mathematics
Matrices and their types		 Easy
24 How many different orders are possible for a matrix having 12 elements? Mathematics/Applied Mathematics
Matrices and their types		 Medium
25 A 2 × 2 matrix has elements aᵢⱼ = (i + 2j)²/2. What is a₂₁? Mathematics/Applied Mathematics
Matrices and their types		 Medium
26 For A = [[1, 5], [3, 2]] (rows listed), the symmetric part ½(A + Aᵀ) is Mathematics/Applied Mathematics
Matrices and their types		 Hard
27 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
28 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
29 If A = [[1, 2], [0, 1]], then A² equals Mathematics/Applied Mathematics
Algebra of matrices		 Medium
30 For any two square matrices A and B of the same order, which statement is always true? Mathematics/Applied Mathematics
Algebra of matrices		 Medium
31 If A = [[1, 1], [1, 1]], then A⁵ equals Mathematics/Applied Mathematics
Algebra of matrices		 Hard
32 The value of the determinant of [[2, 3], [1, 4]] is Mathematics/Applied Mathematics
Determinants		 Easy
33 If two rows of a square matrix are identical, its determinant is Mathematics/Applied Mathematics
Determinants		 Easy
34 A is a 3 × 3 matrix with |A| = 4. What is |2A|? Mathematics/Applied Mathematics
Determinants		 Medium
35 What is the area of the triangle with vertices (1, 0), (6, 0) and (4, 3)? Mathematics/Applied Mathematics
Determinants		 Medium
36 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
37 A square matrix A has an inverse if and only if Mathematics/Applied Mathematics
Adjoint and inverse of a matrix		 Easy
38 The inverse of [[2, 1], [5, 3]] is Mathematics/Applied Mathematics
Adjoint and inverse of a matrix		 Easy
39 If A is a 3 × 3 matrix with |A| = 5, then |adj A| equals Mathematics/Applied Mathematics
Adjoint and inverse of a matrix		 Medium
40 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