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
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minor of 3 |
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= [-6-(-4)] = (-6+4) = -2 |
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minor of 4 |
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= [0-10] = (-10) = -10 |
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minor of 1 |
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= [0-(-5)] = [0+5] minor of a matrix = 5 |
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minor of 0 |
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= [24-(-2)] = [24+2] = 26 |
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minor of -1 |
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= [18-5] = 13 |
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minor of 2 |
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= [-6-20] = -26 |
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minor of 5 |
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= [8-(-1)] = (8+1) = 9 |
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minor of -2 |
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= [6-0] = 6 |
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minor of 6 |
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= [-3-0] = -3 | |||||||||||||||||||||
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minor matrix= |
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cofactor matrix = |
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adjoint of a matrix = |
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Questions |
Solution | |||||||||||||
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1) Find the adjoint of the following matrix
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2) Find the adjoint of the following matrix
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3) Find the adjoint of the following matrix
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4) Find the adjoint of the following matrix
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5) Find the adjoint of the following matrix
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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
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