### Featured Posts

### Maths Assignment Class 12 Chapter 3 | Matrices

- Get link
- Other Apps

# Mathematics Assignment Class 12

# Chapter 3 | Matrices

*Mathematics assignment for class XII chapter 3, Extra questions with answer key on chapter 3 matrices strictly according to the CBSE syllabus and very useful for examinations.*

## Mathematics Assignment On Matrices

Class XII Chapter 3

**Strictly according to the CBSE Syllabus**

For the matrix A = , find (A - A'), where A' is the transpose of matrix A.

Ans:

Question 2

Construct a 2 x 3 matrix whose elements in the ith row and the jth column are given by .

Ans:

Question 3

Find a matrix X such that 2A + B + X = 0, where

A = B =

Ans:

Question 4

If A = , find k such that A^{2}
= KA – 2I

Ans: K = 1

Question 5

Solve for x and y ; =

Ans: x = 5, y = 3

Question 6

If A = , find a matrix B such that AB = I

Ans:

Question 7

If B is a skew symmetric matrix, write whether the matrix (ABA') is symmetric or skew symmetric matrix

Ans: Skew symmetric matrix

Question 8

Show that matrix B'AB is symmetric or skew symmetric according as A is symmetric or skew symmetric matrix.

Question 9

Simplify: +

Ans:

Question 10

If A = , find x, 0 < x < Ï€/2 , when A + A' = I

Ans: x = Ï€ / 3

Question 11

Let A = , express A as sum of two matrices such as one is symmetric and other is skew symmetric.

Ansswer

If A = , find A^{2} – 5A +4I and hence find a matrix X such that A^{2} – 5A + 4I + X = 0

Ans:

Question 13

If A = , then show that A^{2} – 4A - 5I = O and hence find A^{-1}

^{-1}=

_{ij}] is a square matrix of order 2 such that

^{2}

Question: 21

Answer:

^{T}

Answer: Yes it is an orthogonal matrix

Solution Hint

^{2}= A

^{2}+ B

^{2}

**Solution Hint**

**Solve the equation (A +B)**

^{2}= A^{2}+ B^{2}we get**AB + BA = 0**

**Now in this equation putting the values of matrices A and B and comparing the corresponding terms we get the values of x and y.**

Article ↓ |
X |
Y |
Z |

Hand-Held
Fans Mats Toys |
30 12 70 |
40 15 55 |
35 20 75 |

**THANKS FOR YOUR VISIT**

**PLEASE COMMENT BELOW**

- Get link
- Other Apps

### Comments

Nice

ReplyDelete