NCERT Solutions for Class 12 Maths Chapter 3 Matrices Exercise 3.2

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NCERT Solutions for Class 12 Maths Chapter 3 Matrices Exercise 3.2 is given in this article. Chapter 3 Exercise 3.2 includes questions related to operations on matrices, multiplication of a matrix by a scalar, and addition of matrices. The questions also cover the concepts of properties of scalar multiplication and the addition of matrices.

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Class 12 Chapter 3 Matrices Topics:

Types of Matrices	Transpose of a Matrix	Symmetric and Skew-symmetric matrices
Invertible Matrices	Scalar Matrix Formula	Identity Matrix
Column Matrix	Singular Matrix	Symmetric Matrix
Inverse Matrix Formula	Proof of the uniqueness of inverse, if it exists	Upper Triangular Matrix

CBSE Class 12 Mathematics Study Guides:

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

CBSE CLASS XII Related Questions

1.
A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is
- Reflexive only
- Reflexive and Transitive
- Symmetric and Transitive
- Symmetric only
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2.
An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.
Based on the above information, answer the following questions :
3.
Find:

If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of $p$ and $q$.
- $p = -\frac{2}{3}, \, q = \frac{5}{3}$
- $p = -\frac{8}{3}, \, q = \frac{20}{3}$
- $p = \frac{20}{3}, \, q = -\frac{8}{3}$
- $p = 0, \, q = 0$
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4.
Find:

The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:
- $-\frac{\pi}{2}$
- $-\frac{\pi}{4}$
- $\frac{\pi}{4}$
- $\frac{\pi}{2}$
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5.
Find the vector and cartesian equations of the line passing through the point of intersection of the lines $ \vec{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(3\hat{i} - \hat{j}) $ and $ \vec{r} = (4\hat{i} - \hat{k}) + \mu(2\hat{i} + 3\hat{k}) $ and parallel to the line $ \frac{x - 1}{-2} = \frac{7 - y}{-3} = z $.
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6.
If $ xy = e^{x - y} $, then find $ \frac{dy}{dx} $.
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