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
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Sets, Relations and FunctionsLogarithmsQuadratic Equations and InequalitiesSequence And SeriesBinomial TheoremMatricesDeterminantsPermutations and CombinationsProbabilityComplex NumbersVector AlgebraThree Dimensional GeometryStatistics
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Trigonometric Angles and EquationsInverse Trigonometric FunctionHeight and DistanceProperties of Triangles
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