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NCERT Solutions for Class 12 Maths Chapter 3 Matrices Exercise 3.3

Jasmine Grover Study Abroad Expert

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Class 12 Maths NCERT Solutions Chapter 3 Matrices Exercise 3.3 is provided in this article. Chapter 3 Exercise 3.3 deals with questions on the transpose of a matrix, properties of transpose of a matrix, and symmetric and skew-symmetric matrices.

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Check out the solutions for Class 12 Maths NCERT solutions chapter 3 Matrices Exercise 3.3:

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Check out other exercise solutions of Class 12 Maths Chapter 3 Matrices

Class 12 Chapter 3 Matrices Topics:

Types of matrices	Operations on Matrices	Matrix Multiplication
Invertible Matrices	Scalar Matrix Formula	Identity Matrix
Column Matrix	Orthogonal Matrix	Order of Matrices

CBSE Class 12 Mathematics Study Guides:

Math Formula	Math Study Material	Difference between in Math
Math MCQs	NCERT Solutions for Class 12 Maths	Calculus
Arithmetic	Algebra	Geometry

CBSE CLASS XII Related Questions

1.
If $f : \mathbb{N} \rightarrow \mathbb{W}$ is defined as \[ f(n) = \begin{cases} \frac{n}{2}, & \text{if } n \text{ is even} \\ 0, & \text{if } n \text{ is odd} \end{cases} \] then $f$ is :
- injective only
- surjective only
- a bijection
- neither surjective nor injective
View Solution
2.
Let $f'(x) = 3(x^2 + 2x) - \frac{4}{x^3} + 5$, $f(1) = 0$. Then, $f(x)$ is:
- $x^3 + 3x^2 + \frac{2}{x^2} + 5x + 11$
- $x^3 + 3x^2 + \frac{2}{x^2} + 5x - 11$
- $x^3 + 3x^2 - \frac{2}{x^2} + 5x - 11$
- $x^3 - 3x^2 - \frac{2}{x^2} + 5x - 11$
View Solution
3.
Solve the differential equation: \[ x^2y \, dx - (x^3 + y^3) \, dy = 0. \]
View Solution
4.
The probability that a student buys a colouring book is 0.7, and a box of colours is 0.2. The probability that she buys a colouring book, given that she buys a box of colours, is 0.3. Find:
(i) The probability that she buys both the colouring book and the box of colours.
(ii) The probability that she buys a box of colours given she buys the colouring book.
View Solution
5.
Let $f(x) = |x|$, $x \in \mathbb{R}$. Then, which of the following statements is incorrect?
- $f$ has a minimum value at $x = 0$
- $f$ has no maximum value in $\mathbb{R}$
- $f$ is continuous at $x = 0$
- $f$ is differentiable at $x = 0$
View Solution
6.
The values of $\lambda$ so that $f(x) = \sin x - \cos x - \lambda x + C$ decreases for all real values of $x$ are :
- $1<\lambda<\sqrt{2}$
- $\lambda \geq 1$
- $\lambda \geq \sqrt{2}$
- $\lambda<1$
View Solution

Similar Mathematics Concepts

Matrices: Types, Properties, Formulas & Examples

Symmetric and Skew Symmetric Matrices: Definition and Properties

Identity Matrix: Definition, Properties and Important Questions

Scalar Matrix: Formula, Properties and Sample Questions

Symmetric Matrix: Transpose of a Matrix, Skew Symmetric Matrix

Inverse Matrix Formula: Concept and Solved Examples

Singular Matrix: Properties, Importance and Determinant

Orthogonal Matrix: Types, Properties, Dot Product & Examples

Associative Law: Definition, Addition, Multiplication and Formula

Matrix Multiplication: Definition, Types, Properties and Formula

CBSE CLASS XII Previous Year Papers

Mathematics

Mathematics Preparation Guides

Matrices: Types, Properties, Formulas & Examples

Relations and Functions: Explanation, Types, and Representation

Types of Matrices: Row, Column, Zero, Symmetric, Skew Symmetric

Minors and Cofactors of Determinant: Definition, Formula and Solved Examples

Operations on Matrices: Addition, Subtraction, Multiplication and Solved Examples

Determinants: Types, Properties & Examples

Types of Relations: Definition, Classification and Examples

Properties of Determinants: Explanation, Important Properties and Examples

Plane: Equation of a Plane in Three-Dimensional Space

Invertible Matrices: Theorems, Properties and Examples

Symmetric and Skew Symmetric Matrices: Definition and Properties

Types of Functions: Elements, Equations, Range, and Domain

Introduction to Three-Dimensional Geometry: Distance, Important Formulae

Angle between Two Lines: Formula, Derivation & Calculation

Binary Operations: Types, Properties and Examples

Addition of Vectors: Definition, Formula, Laws and Properties

Types of Vectors: Definition, Properties & Examples

Definite Integral: Formula, Properties, Application & Examples

Integration by Partial Fractions: Formula, Steps & Examples

Angle Between a Line and a Plane: Formulas and Solved Examples

Mathematics NCERT Solutions

NCERT Solutions For Class 12 Mathematics Chapter 13: Probability

NCERT Solutions For Class 12 Mathematics Chapter 9: Differential Equations

NCERT Solutions For Class 12 Mathematics Chapter 7 Integrals

NCERT Solutions For Class 12 Mathematics Chapter 12: Linear Programming

NCERT Solutions for Class 12 Maths Chapter 3 Matrices

NCERT Solutions For Class 12 Mathematics Chapter 6 Applications of Derivatives

NCERT Solutions For Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions

NCERT Solutions for Class 12 Maths Chapter 4 Determinants

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra

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