• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer
  • RBSE Model Papers
    • RBSE Class 12th Board Model Papers 2020
    • RBSE Class 10th Board Model Papers 2020
    • RBSE Class 8th Board Model Papers 2020
    • RBSE Class 5th Board Model Papers 2020
  • RBSE Books
  • RBSE Solutions for Class 10
    • RBSE Solutions for Class 10 Maths
    • RBSE Solutions for Class 10 Science
    • RBSE Solutions for Class 10 Social Science
    • RBSE Solutions for Class 10 English
    • RBSE Solutions for Class 10 Hindi
    • RBSE Solutions for Class 10 Sanskrit
    • RBSE Solutions for Class 10 Rajasthan Adhyayan
    • RBSE Solutions for Class 10 Physical Education
  • RBSE Solutions for Class 9
    • RBSE Solutions for Class 9 Maths
    • RBSE Solutions for Class 9 Science
    • RBSE Solutions for Class 9 Social Science
    • RBSE Solutions for Class 9 English
    • RBSE Solutions for Class 9 Hindi
    • RBSE Solutions for Class 9 Sanskrit
    • RBSE Solutions for Class 9 Rajasthan Adhyayan
    • RBSE Solutions for Class 9 Physical Education
    • RBSE Solutions for Class 9 Information Technology
  • RBSE Solutions for Class 8
    • RBSE Solutions for Class 8 Maths
    • RBSE Solutions for Class 8 Science
    • RBSE Solutions for Class 8 Social Science
    • RBSE Solutions for Class 8 English
    • RBSE Solutions for Class 8 Hindi
    • RBSE Solutions for Class 8 Sanskrit
    • RBSE Solutions

RBSE Solutions

Rajasthan Board Textbook Solutions for Class 5, 6, 7, 8, 9, 10, 11 and 12

  • RBSE Solutions for Class 7
    • RBSE Solutions for Class 7 Maths
    • RBSE Solutions for Class 7 Science
    • RBSE Solutions for Class 7 Social Science
    • RBSE Solutions for Class 7 English
    • RBSE Solutions for Class 7 Hindi
    • RBSE Solutions for Class 7 Sanskrit
  • RBSE Solutions for Class 6
    • RBSE Solutions for Class 6 Maths
    • RBSE Solutions for Class 6 Science
    • RBSE Solutions for Class 6 Social Science
    • RBSE Solutions for Class 6 English
    • RBSE Solutions for Class 6 Hindi
    • RBSE Solutions for Class 6 Sanskrit
  • RBSE Solutions for Class 5
    • RBSE Solutions for Class 5 Maths
    • RBSE Solutions for Class 5 Environmental Studies
    • RBSE Solutions for Class 5 English
    • RBSE Solutions for Class 5 Hindi
  • RBSE Solutions Class 12
    • RBSE Solutions for Class 12 Maths
    • RBSE Solutions for Class 12 Physics
    • RBSE Solutions for Class 12 Chemistry
    • RBSE Solutions for Class 12 Biology
    • RBSE Solutions for Class 12 English
    • RBSE Solutions for Class 12 Hindi
    • RBSE Solutions for Class 12 Sanskrit
  • RBSE Class 11

RBSE Solutions for Class 12 Maths Chapter 3 Matrix Ex 3.1

May 23, 2019 by Fazal Leave a Comment

Rajasthan Board RBSE Class 12 Maths Chapter 3 Matrix Ex 3.1

Question 1.
If A = [aij]2 x 4, then write the number of elements in A.
Solution: 8

Question 2.
Write identity matrix of order 4 x 4.
Solution:
Unit matrix of 4 x 4
RBSE Solutions for Class 12 Maths Chapter 3 Matrix

Question 3.
If RBSE Solutions for Class 12 Maths Chapter 3 Matrix , then find the value of a.
Solution:
Given,

RBSE Solutions for Class 12 Maths Chapter 3 Matrix
∴ On comparing
∴ k +4 = a …….(i)
k – 6 = -4 …….(ii)
From (i),
k = -4 + 6 = 2
From (ii),
a = k + 4 = 6
∴ a = 6

Question 4.
What are the possible order of matrix, having 6 elements ?
Solution:
6 x 1, 1 x 6, 2 x 3 and 3 x 2.

Question 5.
Construct a 2 x 2 matrix A = [aij], where elements are given by :
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
Solution:
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
RBSE Solutions for Class 12 Maths Chapter 3 Matrix

Question 6.
Construct a matrix A = [aij] of order 2 x 3, whose elements are a[aij] = \frac { 1 }{ 2 } | 2i – 3i| .
Solution:
In 2 x 3, there are 2 rows and 3 columns
So, i = 1, 2 and j = 1, 2, 3
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
RBSE Solutions for Class 12 Maths Chapter 3 Matrix

Question 7.
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
then find ‘a’ and ‘b’.
Solution:
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
On comparing,
a + b = 6 ……(i)
ab = 8
From equation (i) and (ii),
a(6 – a)= 8
⇒ 6a – a2 – 8=0
⇒ a2 – 2a – 4a + 8 = 0
⇒ a2 – 2a – 4a + 8 = 0
2 (a – 2)(a – 4) = 0
So, a = 2, 4
From ab = 8 we get b = 4, 2

Question 8.
RBSE Solutions for Class 12 Maths Chapter 3 Matrix , then find the value of x, y, z and p.
Solution :
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
On comparing
2x = 4
⇒ x = 2
⇒ 3x + y = 5
y = 5 – 3 x 2 = 5 – 6 = -1
-x + z = -4
z = -4 + x = -4 + 2 = – 2
⇒ 3y – 2p = -3
⇒ 2p = 3y + 3 = 3 x -1 + 3 = 0
So, p = 0
x = 2, y = -1, z = -2, p = 0.

Question 9.
Find the values of a, b and c if matrices A and B are equal, where
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
Solution :
Given, A = B
RBSE Solutions for Class 12 Maths Chapter 3 Matrix
On comparing
a – 2 = b
⇒ a – b = 2 …..(i)
3 = c
12c = 6b
⇒ b = \frac { 12 x 3 }{ 6 } = 6
⇒ b = 6
From b + 2 = a,
a – b = 2
∴ a = 2 + b = 2 + 6 = 8
So, a = 8, b = 6, c = 3.

RBSE Solutions for Class 12 Maths

Share this:

  • Click to share on WhatsApp (Opens in new window)
  • Click to share on Twitter (Opens in new window)
  • Click to share on Facebook (Opens in new window)
  • Click to share on Google+ (Opens in new window)

Related

Filed Under: Class 12

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

Recent Posts

  • RBSE Solutions for Class 11 Maths Chapter 2 Relations and Functions Ex 2.4
  • Rajasthan Board Class 12 Books | RBSE 12th Class Books PDF Download in English Hindi Medium
  • Rajasthan Board Class 11 Books | RBSE 11th Class Books PDF Download in English Hindi Medium
  • Rajasthan Board Class 10 Books | RBSE 10th Class Books PDF Download in English Hindi Medium
  • Rajasthan Board Class 9 Books | RBSE 9th Class Books PDF Download in English Hindi Medium
  • Rajasthan Board Class 8 Books | RBSE 8th Class Books PDF Download in English Hindi Medium
  • Rajasthan Board Class 7 Books | RBSE 7th Class Books PDF Download in English Hindi Medium
  • Rajasthan Board Class 6 Books | RBSE 6th Class Books PDF Download in English Hindi Medium
  • Rajasthan Board Class 5 Books | RBSE 5th Class Books PDF Download in English Hindi Medium
  • Rajasthan Board Class 4 Books | RBSE 4th Class Books PDF Download in English Hindi Medium
  • Rajasthan Board Class 3 Books | RBSE 3rd Class Books PDF Download in English Hindi Medium

Footer

Copyright © 2021 · Magazine Pro on Genesis Framework · WordPress · Log in