Master Teacher Class - Doubt Solving and Assessments

Post-class doubt solving with over 2 million doubts solved. Regular assessments. Learn about properties of determinants and how to enroll in multiple courses. Enhance your understanding and problem-solving skills in math.

• Master Teacher
• Doubt Solving
• Assessments
• Properties of Determinants
• Enroll in Courses

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Presentation Transcript

4. MASTER TEACHER CLASS TEACHER

5. Arvind Kalia_Session_HG.mp4

6. Post-class: doubt solving More than 2 Million doubts solved

7. Assessment: regular tests

12. How To Enroll into Multiple course https://youtu.be/F1YYhnJ1S7Y

14. Properties of Determinants P6: The value of determinants is not altered by adding or subtracting the multiple of any row (column) in other row (column)

15. Properties of Determinants P6: The value of determinants is not altered by adding or subtracting the multiple of any row (column) in other row (column) Remark While applying this property, atleast one row or column must remain unchanged.

16. Properties of Determinants P6: The value of determinants is not altered by adding or subtracting the multiple of any row (column) in other row (column) OperationNotation: Row Operation:Ri Ri+ kRj Column Operation:Ci Ci+ kCj

17. Question! Q Find the value of the determinant

18. Solution :

19. Question! Q Prove that

20. Solution :

21. Solution :

22. Question! Q Prove that

23. Solution :

24. Question! Q Prove the following: Note Remember these as standard determinants.

25. Question! Q Prove the following:

26. Solution :

27. Question! Q Prove the following:

28. Solution :

29. Remark 1. When sum of elements along rows (or columns) is same then we prefer to add them all. 2. When determinant has all its element 1 in a row (column) we prefer to create two zeros.

30. Question! Q Using properties of determinants, show that

31. Solution :

32. Solution :

33. Question! If A, B, C are the angle of a triangle and Q prove that ABC must be isosceles

34. Solution :

35. Solution :

36. Question! Q Prove the following Note Remember (a) as a standard determinant.

37. Question! Q Prove the following

38. Solution :

39. Solution :

40. Question! Q Prove the following

41. Solution :

42. Solution :

43. Question! Q Without expanding the determinant prove that

44. Question! Q Without expanding the determinant prove that

45. Solution :

46. Question! Q Without expanding the determinant prove that

47. Solution :

48. Solution : Note Above is also one of the standard approaches

49. Question! Q Prove the following without expanding: If x, y & z are distinct and then xyz = -1

50. Solution :

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