Institute: Central Board of Secondary Education (CBSE)

Subject: Mathematics

Topic: Algebra - Determinants

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### Video Series

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

#### Series 1: playing of 30

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Determinants

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Determinants part 1 (Definition and Concepts)

00:14:13

00:14:13

Determinants part 2 (Matrix Order 1 ,2, 3)

00:13:22

00:13:22

Determinants part 3 (Expanding determinant along 1st row)

00:10:00

00:10:00

Determinants part 4 (Expanding determinant along 2nd 3rd row)

00:07:58

00:07:58

Determinants part 5 (Expanding determinant along columns)

00:08:16

00:08:16

Determinants part 6 (Examples determinant 3X3)

00:06:52

00:06:52

Determinants part 7 (Rule A=KB)

00:09:59

00:09:59

Determinants part 8 (Properties of determinant Overview)

00:04:30

00:04:30

Determinants part 9 (Property 1 : Transpose)

00:13:27

00:13:27

Determinants part 10 (Property 2: Interchange 2 rows or columns)

00:14:00

00:14:00

Determinants part 11 (Property 3: Identical rows or columns)

00:06:14

00:06:14

Determinants part 12 (Property 4 :Multiply row or column with K)

00:09:59

00:09:59

Determinants part 13 (Property 5 :Express Row ,columns as sum of terms)

00:07:35

00:07:35

Determinants part 14 (Property 6 :Add row column to k(row,column) )

00:10:55

00:10:55

Determinants part 15 (Examples Properties of Determinant)

00:12:00

00:12:00

Determinants part 16 (Examples Properties of Determinant)

00:13:16

00:13:16

Determinants part 17 (Examples Properties of Determinant)

00:12:19

00:12:19

Determinants part 18 (Examples Properties of Determinant)

00:08:32

00:08:32

Determinants part 19 (Area of triangle using Determinant)

00:05:49

00:05:49

Determinants part 20 (Example Area of triangle using Determinant)

00:09:58

00:09:58

Determinants part 21 (Minors and Cofactors)

00:12:52

00:12:52

Determinants part 22 (Example Minors and Cofactors)

00:07:13

00:07:13

Determinants part 23 (Adjoint of Matrices)

00:11:19

00:11:19

Determinants part 24 (Theorems (adj A) A = |A|*I)

00:10:21

00:10:21

Determinants part 25 (Singular and Non Singular matrices)

00:08:56

00:08:56

Determinants part 26 (Theorems Singular and Non Singular)

00:06:55

00:06:55

Determinants part 27 (Invertible matrices)

00:11:40

00:11:40

Determinants part 28 (Application determinant : Consistency of equation)

00:11:34

00:11:34

Determinants part 29 (Application determinant :Solution of equation)

00:13:42

00:13:42

Determinants part 30 (Application determinant : Solution of equation)

00:10:01

00:10:01

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(if you have any topic related video then share link with us)### 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.