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Video tutorials - PUC Mathematics: Algebra - Determinants (Central Board of Secondary Education (CBSE))

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shaalaa.com | Determinants part 1 (Definition and Concepts)

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Determinants part 1 (Definition and Concepts) [00:14:13]
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Series 1: playing of 30

Determinants
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Determinants part 1 (Definition and Concepts)
00:14:13
Determinants part 2 (Matrix Order 1 ,2, 3)
00:13:22
Determinants part 3 (Expanding determinant along 1st row)
00:10:00
Determinants part 4 (Expanding determinant along 2nd 3rd row)
00:07:58
Determinants part 5 (Expanding determinant along columns)
00:08:16
Determinants part 6 (Examples determinant 3X3)
00:06:52
Determinants part 7 (Rule A=KB)
00:09:59
Determinants part 8 (Properties of determinant Overview)
00:04:30
Determinants part 9 (Property 1 : Transpose)
00:13:27
Determinants part 10 (Property 2: Interchange 2 rows or columns)
00:14:00
Determinants part 11 (Property 3: Identical rows or columns)
00:06:14
Determinants part 12 (Property 4 :Multiply row or column with K)
00:09:59
Determinants part 13 (Property 5 :Express Row ,columns as sum of terms)
00:07:35
Determinants part 14 (Property 6 :Add row column to k(row,column) )
00:10:55
Determinants part 15 (Examples Properties of Determinant)
00:12:00
Determinants part 16 (Examples Properties of Determinant)
00:13:16
Determinants part 17 (Examples Properties of Determinant)
00:12:19
Determinants part 18 (Examples Properties of Determinant)
00:08:32
Determinants part 19 (Area of triangle using Determinant)
00:05:49
Determinants part 20 (Example Area of triangle using Determinant)
00:09:58
Determinants part 21 (Minors and Cofactors)
00:12:52
Determinants part 22 (Example Minors and Cofactors)
00:07:13
Determinants part 23 (Adjoint of Matrices)
00:11:19
Determinants part 24 (Theorems (adj A) A = |A|*I)
00:10:21
Determinants part 25 (Singular and Non Singular matrices)
00:08:56
Determinants part 26 (Theorems Singular and Non Singular)
00:06:55
Determinants part 27 (Invertible matrices)
00:11:40
Determinants part 28 (Application determinant : Consistency of equation)
00:11:34
Determinants part 29 (Application determinant :Solution of equation)
00:13:42
Determinants part 30 (Application determinant : Solution of equation)
00:10:01

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Description

  • 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.
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