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

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shaalaa.com | Matrices class 12 part 1 (Concepts)

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Matrices class 12 part 1 (Concepts) [00:10:15]
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Series 1: playing of 37

Matrices
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Matrices class 12 part 1 (Concepts)
00:10:15
Matrices class 12 part 2 (Definition)
00:05:28
Matrices class 12 part 3 (Represent data in Matrices)
00:11:18
Matrices class 12 part 4 (Examples Represent data)
00:07:45
Matrices class 12 part 5 (Examples Represent data)
00:11:27
Matrices class 12 part 6 (Row and column Matrices)
00:04:07
Matrices class 12 part 7 (Square Diagonal Scalar identity Zero Matrices)
00:11:41
Matrices class 12 part 8 (Equality of matrices)
00:11:46
Matrices class 12 part 9 (Addition of matrices)
00:09:45
Matrices part 10 (Subtraction of matrices)
00:03:01
Matrices part 11 (Property of matrices Addition)
00:12:55
Matrices part 12 (Scalar multiplication of Matrices)
00:12:17
Matrices part 13 (Example Scalar matrices)
00:08:57
Matrices part 14 (Example Scalar matrices)
00:10:51
Matrices part 15 (Negative matrices)
00:00:58
Matrices part 16 (Multiplication of two matrices)
00:11:31
Matrices part 17 (Example Matrices Multiplication)
00:14:42
Matrices part 18 (Example Matrices Multiplicatio)
00:06:46
Matrices part 19 (Example Matrices Multiplicatio)
00:13:16
Matrices part 20 (Example Matrices Multiplicatio)
00:08:20
Matrices part 21 (Example Matrices Multiplicatio)
00:13:30
Matrices part 22 (Example Matrices Multiplicatio)
00:14:18
Matrices part 23 (Example Matrices Multiplicatio)
00:13:13
Matrices part 24 (Example Matrices Multiplicatio)
00:04:46
Matrices part 25 (Zero matrices as Product of 2 matrices)
00:02:07
Matrices part 26 (Property matrices multiplication)
00:01:02
Matrices part 27 (Transpose)
00:13:50
Matrices part 28 (Example Transpose)
00:07:59
Matrices part 29 (Symmetric matrices)
00:04:09
Matrices part 30 (Skew Symmetric matrices)
00:05:29
Matrices part 31 (Theorem Skew and Symmetric matrices)
00:10:19
Matrices part 32 (Example Skew and Symmetric)
00:09:11
Matrices part 33 (Operation on Matrices)
00:13:47
Matrices part 34 (Invertible matrices)
00:02:11
Matrices part 35 (Inverse using matrices operation)
00:13:30
Matrices part 36 (Example 2X2 inverse using operation)
00:03:43
Matrices part 37 (Example 3X3 inverse using operation)
00:12:45

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Description

  • Concept, notation, order, equality, types of matrices, zero andidentity matrix, transpose of a matrix, symmetric and skew symmetric matrices.
  • Operation on matrices: Addition and multiplicat on and multipl cation 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).
  • 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).
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