This document contains lecture slides presented by Mishal Chauhan for Class 12 on the topic of determinants. The slides introduce determinants and their properties, provide examples of operations on determinants such as evaluation and multiplication by a scalar. The slides also present homework problems for students. Key topics covered include the definition of a determinant, properties such as linearity, multiplicativity and expansion of determinants.

1. LECTURE SLIDES - MISHAL CHAUHAN
MISHAL CHAUHAN
CLASS 12
MODULE - 1

2. WHAT SHALL WE LEARN
TODAY?
 INTRODUCTION TO DETERMINANT
 PROPERTIES OF DETERMINANTS
 OPERATIONS
 EXAMPLES
 HOMEWORK
LECTURE SLIDES - MISHAL CHAUHAN

3. LECTURE SLIDES - MISHAL CHAUHAN
INTRODUCTION
Remember solving pair of linear equations by
cross multiplcation? Getting the connection?

4. LECTURE SLIDES - MISHAL CHAUHAN
INTRODUCTION

5. LECTURE SLIDES - MISHAL CHAUHAN
INTRODUCTION

6. THIRD ORDER DETERMINANT
LECTURE SLIDES - MISHAL CHAUHAN

7. SOME SYMBOLS
LECTURE SLIDES - MISHAL CHAUHAN

8. SOME SYMBOLS
LECTURE SLIDES - MISHAL CHAUHAN
Or

9. SOME SYMBOLS
LECTURE SLIDES - MISHAL CHAUHAN

10. SOME SYMBOLS
LECTURE SLIDES - MISHAL CHAUHAN

11. SOME SYMBOLS – OPERATIONS
ON DETERMINANTS
- EXAMPLE - 1
LECTURE SLIDES - MISHAL CHAUHAN
Evaluate

12. SOME SYMBOLS – OPERATIONS
ON DETERMINANTS
- EXAMPLE - 2
LECTURE SLIDES - MISHAL CHAUHAN
Evaluate

13. SOME SYMBOLS – OPERATIONS
ON DETERMINANTS
- EXAMPLE - 3
LECTURE SLIDES - MISHAL CHAUHAN
Evaluate

14. SOME SYMBOLS – OPERATIONS
ON DETERMINANTS
- HOMEWORK - 1
LECTURE SLIDES - MISHAL CHAUHAN
Evaluate

15. SOME SYMBOLS – OPERATIONS
ON DETERMINANTS
- HOMEWORK - 2
LECTURE SLIDES - MISHAL CHAUHAN
Evaluate

16. PROPERTIES OF DETERMINANTS
LECTURE SLIDES - MISHAL CHAUHAN
Property - 1

17. PROPERTIES OF DETERMINANTS
LECTURE SLIDES - MISHAL CHAUHAN
Property - 1
Proof:

18. PROPERTIES OF DETERMINANTS
LECTURE SLIDES - MISHAL CHAUHAN
Property - 1

19. PROPERTIES OF DETERMINANTS –
EXAMPLE - 3
LECTURE SLIDES - MISHAL CHAUHAN
Sol:

20. PROPERTIES OF DETERMINANTS –
Property - 2
LECTURE SLIDES - MISHAL CHAUHAN
Proof:

21. PROPERTIES OF DETERMINANTS –
Property - 2
LECTURE SLIDES - MISHAL CHAUHAN

22. PROPERTIES OF DETERMINANTS –
EXAMPLE - 4
LECTURE SLIDES - MISHAL CHAUHAN
Sol:

23. PROPERTIES OF DETERMINANTS –
Property - 3
LECTURE SLIDES - MISHAL CHAUHAN

24. PROPERTIES OF DETERMINANTS –
Property - 3
LECTURE SLIDES - MISHAL CHAUHAN

25. PROPERTIES OF DETERMINANTS –
Recall for Matrix
LECTURE SLIDES - MISHAL CHAUHAN
For 2x2 Matrix |[3A]| = 9|A|
For 3x3 Matrix |[3A]| = 27|A|

26. PROPERTIES OF DETERMINANTS –
EXAMPLE - 5
LECTURE SLIDES - MISHAL CHAUHAN
Sol:

27. PROPERTIES OF DETERMINANTS
Property – 4
LECTURE SLIDES - MISHAL CHAUHAN
Proof:

28. PROPERTIES OF DETERMINANTS
Property – 4
LECTURE SLIDES - MISHAL CHAUHAN

29. PROPERTIES OF DETERMINANTS
EXAMPLE – 6
LECTURE SLIDES - MISHAL CHAUHAN
Sol:

30. PROPERTIES OF DETERMINANTS
EXAMPLE – 7
LECTURE SLIDES - MISHAL CHAUHAN
Sol:

31. PROPERTIES OF DETERMINANTS
EXAMPLE – 8
LECTURE SLIDES - MISHAL CHAUHAN
Sol:

32. PROPERTIES OF DETERMINANTS
EXAMPLE – 8
LECTURE SLIDES - MISHAL CHAUHAN

33. PROPERTIES OF DETERMINANTS
EXAMPLE – 9
LECTURE SLIDES - MISHAL CHAUHAN
Sol:

34. PROPERTIES OF DETERMINANTS
EXAMPLE – 7
LECTURE SLIDES - MISHAL CHAUHAN
Sol:

35. PROPERTIES OF DETERMINANTS
HOMEWORK - 3
LECTURE SLIDES - MISHAL CHAUHAN
i)
ii)

36. REFERENCE BOOKS
ACKNOWLEDGEMENT
 CENGAGE PUBLICATION, MATHEMATICS
(G.TEWANI)
 R.D SHARMA OBJECTIVE MATHEMATICS FOR
IITJEE
 WILEY MATHEMATICS
 PEARSON MATHEMATICS, IITJEE SUPERCOURSE
 GSEB QUESTIONBANKS
 NCERT EXEMPLAR
LECTURE SLIDES - MISHAL CHAUHAN

37. LECTURE SLIDES - MISHAL CHAUHAN