1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If A is an identity matrix of order 3, then its inverse (A$$-$$1)
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A is a square matrix of order 3 such that its determinant is 4. What is the determinant of its transpose?
3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Let $A$ and $B$ be matrices of order $3 \times 3$. If $|A| = \frac{1}{2 \sqrt{2}}$ and $|B| = \frac{1}{729}$, then what is the value of $|2B(adj(3A))|$?
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements in respect of two non-singular matrices $A$ and $B$ of the same order $n$:
- 1.$adj(AB) = (adjA)(adjB)$
- 2. $adj(AB) = adj(BA)$
- 3. $(AB) adj(AB) - |AB| I_n$ is a null matrix of order $n$
How many of the above statements are correct?
Questions Asked from Matrices (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
Sets, Relations and Functions Logarithms Quadratic Equations and Inequalities Sequence And Series Binomial Theorem Matrices Determinants Permutations and Combinations Probability Complex Numbers Vector Algebra Three Dimensional Geometry Statistics
Trigonometry
Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles
Coordinate Geometry
Calculus
English
General Studies