Adjoint of a Matrix
In this page adjoint of a matrix we are going to some examples to find ad-joint of any matrix.
Definition:
Let A = [aij] be a square matrix of order n. Let Aij be a cofactor of aij. Then nth order matrix [Aij]^T is called adjoint of A. It is denoted by Adj A. In other words we can define adjoint of matrix as transpose of co factor matrix.
Example 1:
Find the adjoint of the following matrix
|
|
minor of 3 |
|
|||||||||
|
= [-6-(-4)] = (-6+4) = -2 |
|
minor of 4 |
|
|||||||||
|
= [0-10] = (-10) = -10 |
|
minor of 1 |
|
|||||||||
|
= [0-(-5)] = [0+5] minor of a matrix = 5 |
|
minor of 0 |
|
|||||||||
|
= [24-(-2)] = [24+2] = 26 |
|
minor of -1 |
|
|||||||||
|
= [18-5] = 13 |
|
minor of 2 |
|
|||||||||
|
= [-6-20] = -26 |
|
minor of 5 |
|
|||||||||
|
= [8-(-1)] = (8+1) = 9 |
|
minor of -2 |
|
|||||||||
|
= [6-0] = 6 |
|
minor of 6 |
|
||||||||||||||||||||
|
= [-3-0] = -3 | |||||||||||||||||||||
|
minor matrix= |
|
||||||||||||||||||||
|
cofactor matrix = |
|
||||||||||||||||||||
|
adjoint of a matrix = |
|
|
Questions |
Solution | |||||||||||||
|
1) Find the adjoint of the following matrix
|
| |||||||||||||
|
2) Find the adjoint of the following matrix
|
| |||||||||||||
|
3) Find the adjoint of the following matrix
|
| |||||||||||||
|
4) Find the adjoint of the following matrix
|
| |||||||||||||
|
5) Find the adjoint of the following matrix
|
adjoint of a matrix |
- Types of matrices
- Equality of matrices
- Operation on matrices
- Algebraic properties of matrices
- Multiplication properties
- Minor of a matrix
- Practice questions of minor of matrix
- Adjoint of matrix
- Determinant of matrix
- Inverse of a matrix
- Practice questions of inverse of matrix
- Inversion method
- Inversion method worksheets
- Cramer's Rule for 3 equations
- Cramer's Rule for 2 equations
- Solving 2 equations using Cramer's method
- Rank Method in Matrix
- Rank of a matrix
- Solving using rank method
- Linear dependence of vectors
- Linear dependence of vectors in rank method
- Characteristic Equation of matrix
- Characteristic vector of matrix
- Diagonalization of matrix
- Gauss elimination method
- Matrix calculator
- Matrix worksheets
Recent Articles
-
How to Find the Product of Three Binomials
Oct 22, 21 01:12 AM
How to Find the Product of Three Binomials
-
Recurring Decimals to Fractions Worksheet
Oct 21, 21 10:04 PM
Recurring Decimals to Fractions Worksheet
-
Recurring Decimals to Fractions
Oct 21, 21 09:59 PM
Recurring Decimals to Fractions
Featured Categories
2. Matrix Inverse Calculator - 2x2 Matrix
3. Matrix Inverse Calculator - 3x3 Matrix
4. Matrix Inverse Calculator - 4x4 Matrix
5. Cramer's Rule Calculator - 3x3 Matrix
6. Matrix Addition Calculator - 3x3 Matrix
7. Matrix Subtraction Calculator - 3x3 Matrix
8. Matrix Multiplication Calculator - 2x2 Matrix
9. Matrix Multiplication Calculator - 3x3 Matrix
10. Matrix Determinant Calculator - 3x3 & 2x2 Matrix
11. Matrix Addition Calculator - 2x2 Matrix
12. Matrix Subtraction Calculator- 2x2 Matrix
13. Matrix Addition Calculator - 4x4 Matrix
14. Matrix Subtraction Calculator- 4x4 Matrix
15. Matrix Multiplication Calculator - 4x4 Matrix