CHAPTER 4 : DETERMINANTS

CHAPTER 4 : DETERMINANTS 

VIDEO ON CONTENT OF THIS PAGE

Determinants 

Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

NCERT TEXT BOOK : CHAPTER 4 : DETERMINANTS 

The digital form of NCERT Book - Chapter 4 - Determinants for reference 

https://drive.google.com/file/d/1CAP0vSmbmBDZvsmgwhaIhwcafc59Draz/view?usp=sharing

CONTENT

The document contains definition of determinants, properties of determinants, minor, cofactors and application of determinants, adjoint of a square matrix, Solution of system of linear equations by matrix method 

https://drive.google.com/file/d/1Lc8nwFn-IimzH3Q9ffhxmXbiRmzPJtNH/view?usp=sharing

SOLUTIONS TO NCERT TEXT BOOK EXERCISES ON CHAPTER 4

The Power Point Presentations contain definitions with examples and solution to NCERT text book exercises on chapter 4 with animations on solution steps 

Exercise	Link to PPT on solutions to NCERT Text Book Questions
4.1	https://drive.google.com/file/d/1MAzrjqPmQx12B2RCwn9WM4eyJgebaHyk/view?usp=sharing
4.2	https://drive.google.com/file/d/1rkQqcBQUWtSpnX4dRRwAoq4GXiBlnfcS/view?usp=sharing
4.3	https://drive.google.com/file/d/1floHCnznnwLCoibNN1I3oqNZL1Qy-rWI/view?usp=sharing
4.4	https://drive.google.com/file/d/1V6WVooEXpsOcwWfyymeXw7x-Myir9PRB/view?usp=sharing
4.5	https://drive.google.com/file/d/1VOADkUBvbeQ40vHVOFeTt8m_iqcE7hqN/view?usp=sharing
4.6	https://drive.google.com/file/d/1ihYKK6--kILD1I5znTgGMNy9YeMud4or/view?usp=sharing

SOLUTIONS WITH NARRATIONS TO NCERT TEXT BOOK EXERCISES ON CHAPTER 4

The Power Point Presentations contain definitions with examples and solution with narrations to NCERT text book exercises on chapter 4 with animations on solution steps 

Exercise	Link to PPT on solutions with narrations to NCERT Text Book Questions
4.1	https://drive.google.com/file/d/1b2xa7v1Yl4FBzfAggYJ0WexaLzqoBN26/view?usp=sharing
4.2	https://drive.google.com/file/d/1n-CyxVcromUcGpuBU74ZcxE1Xb9BF6S-/view?usp=sharing
4.3	https://drive.google.com/file/d/1ZaspZp1APbJgEVgMPeIfFAzOWW4pF1AW/view?usp=sharing
4.4	https://drive.google.com/file/d/1V6WVooEXpsOcwWfyymeXw7x-Myir9PRB/view?usp=sharing
4.5	https://drive.google.com/file/d/1FPsdZlG0Ag9SThzpVzxrzvhyqMlb0tzk/view?usp=sharing
4.6	https://drive.google.com/file/d/1Ll2UUf9Qd7xJJuKug63OWF5pDjoR4q4z/view?usp=sharing

VIDEOS ON SOLUTION TO NCERT TEXT BOOK EXERCISES ON CHAPTER 4

The solution with narrations to NCERT text book exercises on Chapter 4 is converted to video and uploaded in YouTube and the link is given below

Exercise	Link to YouTube videos on solutions to NCERT Text book questions
4.1	https://youtu.be/vre4ALWgH9g
4.2	https://youtu.be/A1rsRGbamBc
4.3	https://youtu.be/3JxvRxbyAtc
4.4	https://youtu.be/zPxXzj08q0k
4.5	https://youtu.be/0Nls-wNq1NY
4.6	https://youtu.be/SJuu1LEneIM

MCQ on Chapter 4 - DETERMINANTS 

The document contains MCQ on chapter - 4 Determinants for practice 

https://drive.google.com/file/d/1Zl6ULY4OEhRBZebypBn464ThjsURIHg1/view?usp=sharing

PRACTICE QUESTIONS

The document contains practice questions on chapter 4 and also from chapters 1 to 4 for revision 

https://drive.google.com/file/d/1PJQNCAuwnBRC2zxIAwd9aSnJvxFIGsSF/view?usp=sharing

MATERIAL FOR FURTHER REFERENCE

The link to the videos uploaded in Swayamprabha channel is given for further reference and practice 

S.No.	Links to Videos from Swayamprabha Channel on Determinants
1	https://www.youtube.com/watch?v=0zc26SLlhBQ
2	https://www.youtube.com/watch?v=PjxtcFFv2fU
3	https://www.youtube.com/watch?v=HAVblkRsqn0
4	https://www.youtube.com/watch?v=jfNAMSCbMNI
5	https://www.youtube.com/watch?v=e23KdCKQpSM
6	https://www.youtube.com/watch?v=H4SahkrOd4s
7	https://www.youtube.com/watch?v=kNn90jd1yy8
8	https://www.youtube.com/watch?v=NNOOuD92pUs
9	https://www.youtube.com/watch?v=wesDevwoePE
10	https://www.youtube.com/watch?v=XNpK5inqXM8

CHAPTER 3 MATRICES

CHAPTER 3 - MATRICES

VIDEO ON CONTENTS OF THIS BLOG

Unit-II: Algebra

1. Matrices 

Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Non- commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2).Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

NCERT TEXT BOOK - CHAPTER 2 - MATRICES

The digital copy of NCERT Text book - Chapter 2 - Matrices for reference 

https://drive.google.com/file/d/1bJideqT2gAeYgwudF0DCc9wgTgRpa1Fu/view?usp=sharing

CONTENT

The document contains introduction to matrices, types of matrices, operation on matrices, elementary row and column operations and its applications

https://drive.google.com/file/d/13Ax_cDyAyG-dunWqK2XgTp3M1ILCwbpy/view?usp=sharing

Solutions to NCERT Text-book Exercises on Chapter 3 - Matrices

The solution to NCERT Text-book Exercises on chapter 3 - Matrices presented in the form of Power Point Presentations.  The PPTs contains animations to the steps of solutions to the questions 

Exercise	Link to PPT on solutions to NCERT Text Book Questions
3.1	https://drive.google.com/file/d/1sJvsvFq_-rrgG0niHSTgABFWkQI-rOBL/view?usp=sharing
3.2	https://drive.google.com/file/d/17o74UJb7tCDMY3JoWAbR7ZVUUO2i_0RJ/view?usp=sharing
3.3	https://drive.google.com/file/d/1mccSF1LUAcz76Buc7NP75xlXuUgT-zYu/view?usp=sharing
3.4	https://drive.google.com/file/d/1Ju8hQBGdy7khUZyUwihsoOXMzovqXQ3G/view?usp=sharing

Solutions with narations to NCERT Text-book Exercises on Chapter 3 - Matrices

The solution to NCERT Text-book Exercises on chapter 3 - Matrices presented in the form of Power Point Presentations.  The PPTs contains animations with narrations to the steps of solutions to the questions 

Exercise	Link to PPT on solutions with narrations to NCERT Text Book Questions
3.1	https://drive.google.com/file/d/1AsZsvLge_W0PrxhYkiSSV8oQyiEvHXke/view?usp=sharing
3.2	https://drive.google.com/file/d/1VIof3J8gg-Ga7M9ljQhD_Sas7kX7_dGZ/view?usp=sharing
3.3	https://drive.google.com/file/d/1CS3ezY28_2MZNcxn0yxrk8UgII7WsddB/view?usp=sharing
3.4	https://drive.google.com/file/d/14qZWfOs0nBYUmqAMNKHDzOxp_d_03Yps/view?usp=sharing

Videos on Solutions to NCERT Text-book Exercises on Chapter 3 - Matrices

The solution to NCERT Text-book Exercises on chapter 3 - Matrices presented in the form of videos uploaded in YouTube 

Exercise	Link to YouTube videos on solutions to NCERT Text book questions
3.1	https://youtu.be/IlicR9bQQCc
3.2	https://youtu.be/21dcGjcJmaw
3.3	https://youtu.be/jSLC1HNlOg0
3.4	https://youtu.be/mzIgcHEdVlg

MCQ ON CHAPTER 3 - MATRICES 

The document contains MCQ on Chapter 3 Matrices for practice 

https://drive.google.com/file/d/1RFcWK5y99P8PRfn2rjGcFHlhmncB5AF3/view?usp=sharing

PRACTICE QUESTIONS ON CHAPTER 3 - MATRICES 

The documents contains practice questions on Chapter 3 - Matrices and practice item on chapters 1 to 3 for revision 

https://drive.google.com/file/d/1YTpeZsM0JO_Pl2ogdBEHA1v6OZKCodxK/view?usp=sharing

FOR FURTHER REFERENCE

The links to the videos on Matrices prepared by IIT, Delhi for Swahamprabha portal 

S.No	Links to Videos from Swayamprabha on Matrices
1	https://www.youtube.com/watch?v=t1jxs4KdpO0
2	https://www.youtube.com/watch?v=oLFQt9TsKcI
3	https://www.youtube.com/watch?v=jJ_By5dDhoE
4	https://www.youtube.com/watch?v=i4z4pYfC9rc
5	https://www.youtube.com/watch?v=9BpgEtpBiK0
6	https://www.youtube.com/watch?v=xJZdeVaS3Z4

CHAPTER 2 : INVERSE TRIGONOMETRIC FUNCTIONS

CHAPTER 2 : INVERSE TRIGONOMETRIC FUNCTIONS 

VIDEO ON INTRODUCTION TO BLOG

(CLICK TO VIEW THE VIDEO)

2. Inverse Trigonometric Functions

Definition, range, domain, principal value branch. Graphs of inverse trigonometric
functions Elementary properties of inverse trigonometric functions.

NCERT TEXT BOOK CHAPTER 2 - INVERSE TRIGONOMETRIC FUNCTIONS

The digital copy of the NCERT Text Book Chapter -2 Inverse Trigonometric Functions for reference 

https://drive.google.com/file/d/1NapulKJKvg2yNjL1Eaz_IX1shN93gUBM/view?usp=sharing

CONTENT

The file explains the domain and range of Inverse Trigonometric Functions and their Principal Branches and their graphs.  The properties of Inverse Trigonometric functions also listed.  The common substitutions to be used to simply inverse trigonometric expressions also explained  

https://drive.google.com/file/d/1WvP9QJ3awUW1mkJ79Sq5zdC4klSb7lYa/view?usp=sharing

SOLUTION TO NCERT TEXT BOOK EXERCISES 2.1 AND 2.2

The solution to NCERT text book questions of Exercises 2.1 and 2.2 solved in Power Point Form with animation on the steps of solutions

Exercise	Links to open PPTs on Solutions
2.1	https://drive.google.com/file/d/1UYaTDiWA3kZ4qbk6RftTJUshqxVfxsDD/view?usp=sharing
2.2	https://drive.google.com/file/d/168QB1HvDdAcXBL7UIkeB-vbQH9KgembK/view?usp=sharing

SOLUTION WITH NARRATIONS TO NCERT TEXT BOOK EXERCISES 2.1 AND 2.2

The solution to NCERT text book questions of Exercises 2.1 and 2.2 solved in Power Point Form with animation and narration on the steps of solutions 

Exercise	Links to open PPTs on Solutions with narrations
2.1	https://drive.google.com/file/d/1bafV--1Dh-FQ6vANabEoVjpjm51GYrBI/view?usp=sharing
2.2	https://drive.google.com/file/d/13UAV4ip_baifKsoGoI2KgTolzv-0hLH4/view?usp=sharing

VIDEO ON SOLUTION WITH NARRATIONS TO NCERT TEXT BOOK EXERCISES 2.1 AND 2.2

The solution to NCERT text book questions of Exercises 2.1 and 2.2 solved in Power Point Form with animation and narration on the steps of solution and is converted into video uploaded in YouTube.  The link to the videos are given below:

Exercise	Link to open Video in YouTube Channel
2.1	https://youtu.be/pPGDnPcqKQE
2.2	https://youtu.be/9VNSlrbnlaA

MCQ ON CHAPTER 2

The document contains MCQ on Chapter 2 - Inverse Trigonometric Functions

https://drive.google.com/file/d/1pc0T9Jvltmr_gmwQ6p9EPmia8bJUQKcA/view?usp=sharing

PRACTICE ITEMS

The document contains practice questions on Chapter 2 and also Practice Questions from Chapters 1 and 2 for revision 

https://drive.google.com/file/d/16__3ueTP_GchYhvXE3qoQo6RJGDfUwnL/view?usp=sharing

LAB ACTIVITIES BY NCERT

The document contains 2 activities on Inverse Trigonometric Functions 

https://drive.google.com/file/d/1lAX3TTOsXz7SukwXIGcSvbV1JN31bJJv/view?usp=sharing

MATERIAL ON FURTHER REFERENCE

S.No	Links to Videos from Swayamprabha and NROER
1	https://www.youtube.com/watch?v=F4HEFapEJyo
2	https://www.youtube.com/watch?v=J7HOpB0ALbU
3	https://www.youtube.com/watch?v=KT1yhlTBonM
4	https://nroer.gov.in/55ab34ff81fccb4f1d806025/page/581b147816b51c2e7fb0f34b
5	https://nroer.gov.in/55ab34ff81fccb4f1d806025/page/581b128916b51c2e7fb0f329

CHAPTER 1 : RELATIONS AND FUNCTIONS

CHAPTER 1 : RELATIONS AND FUNCTIONS 

Video on how to view the contents of Chapter 1 at this blog

Unit-I: Relations and Functions 

1. Relations and Functions  

Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. 

NCERT TEXT BOOK : CHAPTER 1

The digital copy of NCERT text book - Chapter 1 - Relations and Functions for reference 

https://drive.google.com/file/d/17QjpHQl4pBtFXdx6E3TN6X6MNBpv0WwF/view?usp=sharing

CONCEPTS

The handout contains definition and examples to Types of relations to functions and composition of functions 

https://drive.google.com/file/d/1lntqyxY6o7rbSUicVUiTXjdhUIeMJ3Ci/view?usp=sharing

SOLUTIONS TO NCERT TEXT BOOK QUESTIONS 

Solution to NCERT text book Exercises of Chapter 1 is solved through PPT.  The PPT is made with animation to view the steps of solutions.

Exercise	Link to PPTs on Solutions to NCERT Text Book questions
1.1	https://drive.google.com/file/d/1bi04WP6abV9nBNH_LDEZVCOfmva0Di4F/view?usp=sharing
1.2	https://drive.google.com/file/d/18HdwmLoX-LOpl7MHqwMnQDu96H8TVc1R/view?usp=sharing
1.3	https://drive.google.com/file/d/1s060oly_MM4MKrLaj6EwVDTbXeGp6KBH/view?usp=sharing

SOLUTIONS WITH NARRATIONS TO NCERT TEXT BOOK QUESTIONS 

Solution with narrations to NCERT text book Exercises of Chapter 1 is solved through PPT.  The PPT is made with animation and narrations to view the steps of solutions.

Exercise	Link to PPTs on Solutions with Narrations to NCERT Text Book questions
1.1	https://drive.google.com/file/d/1cGH3_iuECt7CAhWe54f7gQNqVLfCBGCd/view?usp=sharing
1.2	https://drive.google.com/file/d/1Pd41KY8Muli4DBPpvrUALamccTZN_tL2/view?usp=sharing
1.3	https://drive.google.com/file/d/1uOtWTnA1HAsXkWny5biU5box1eWObvkN/view?usp=sharing

SOLUTIONS TO NCERT TEXT BOOK QUESTIONS IN VIDEO FORMATS

The PPTs on Solution to Solution with narrations to NCERT text book Exercises of Chapter 1 is converted into video and the same is uploaded in YouTube.  

S.No	TOPIC	LINK TO OPEN
1	1.1 Types of relations	https://youtu.be/R_wJIgp1ask
2	1.2 Types of Functions	https://youtu.be/wZT-Kb91JZA
3	1.3 Composition of functions	https://youtu.be/B2ZzE6_e7eQ

MCQ QUESTIONS ON CHAPTER 1

The document contains Multiple Choice questions on Chapter 1 

https://drive.google.com/file/d/1apZZiHYEs_3vTBKoxAC3tfiYJR9hD3WM/view?usp=sharing

PRACTICE QUESTIONS ON CHAPTER 1

The document contains practice questions on Chapter 1

https://drive.google.com/file/d/1b5dtvjlYyibd2CPksFnSPwfKRGWHsiM4/view?usp=sharing

LAB ACTIVITIES BY NCERT

The lab activities on Chapter 1 - Relations and Functions published by NCERT.  The document contains 4 activities 

https://drive.google.com/file/d/11LMfSGIgl_NDaw6AXBW34QYovXX6seQx/view?usp=sharing

MATERIAL FOR FURTHER REFERENCE

S.No	Links to Videos from Swayamprabha and NROER
1	https://www.youtube.com/watch?v=3y6kXA9YEpA&list=PLkf8cwbpu_YwT-aWoFBZXpLmqC4r1Nv3j&index=4
2	https://www.youtube.com/watch?v=8VoQmtJux-Y&list=PLkf8cwbpu_YwT-aWoFBZXpLmqC4r1Nv3j&index=6
3	https://www.youtube.com/watch?v=2KzkwLzGQ-U
4	https://www.youtube.com/watch?v=NiGOEuElzF4
5	https://www.youtube.com/watch?v=js9lfSKKI6E
6	https://nroer.gov.in/55ab34ff81fccb4f1d806025/file/581aff1c16b51c2e7fb0f212
7	https://nroer.gov.in/55ab34ff81fccb4f1d806025/file/581b0cc416b51c2e7fb0f2c1