1
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
If $A=\left[\begin{array}{lll}1 & a & 0 \\ 0 & 1 & b \\ 0 & 0 & 1\end{array}\right]$, then the determinant of $I-A+A^2-A^3+A^4-\cdots+A^{2020}$ is
2
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
The number of skew-symmetric matrices $A=\left[a_i j\right]_{3 \times 3}$, where $a_i j \in\{-3,-2,-1,0,1,2,3\}$ is:
Questions Asked from Matrices and Determinants (MCQ (Single Correct Answer))
Number in Brackets after Paper Indicates No. of Questions
IAT (IISER) Subjects
Physics
Mechanics
Units & Measurement and Dimensions Motion in a Straight Line Laws of Motion Circular Motion Work, Energy and Power Rotational Motion Gravitation Simple Harmonic Motion Fluid Mechanics Waves Heat and Thermodynamics
Optics
Electromagnetism
Electrostatics Current Electricity Capacitor Moving Charges and Magnetism Electromagnetic Induction Alternating Current Electromagnetic Waves
Modern Physics
Chemistry
Physical Chemistry
Atomic Structure States of Matter Thermodynamics Ionic Equilibrium Liquid Solution Surface Chemistry Solid State Electrochemistry Chemical Kinetics
Inorganic Chemistry
Periodic Table and Periodicity Chemical Bonding and Molecular Structure Metallurgy Hydrogen and It's Compounds p-Block Elements Coordination Compounds
Organic Chemistry
Mathematics
Algebra
Quadratic Equations Sequences and Series Permutations and Combinations Probability Sets and Relations Binomial Theorem Three Dimensional Geometry Matrices and Determinants Statistics Linear Programming Complex Numbers
Trigonometry
Calculus
Functions Limits, Continuity and Differentiability Application of Derivatives Definite Integration Area Under The Curves Differential Equations
Coordinate Geometry
Biology
Botany
Cell - The Unit of Life Biomolecules Cell Cycle and Cell Division Sexual Reproduction in Flowering Plants Microbes in Human Welfare Anatomy of Flowering Plants Mineral Nutrition Biotechnology: Principles and Processes Biodiversity and Conservation Morphology of Flowering Plants Photosynthesis in Higher Plants Principles of Inheritance and Variation Molecular Basis of Inheritance Organisms and Populations Ecosystem
Zoology