Let us understand Adjoint of a Matrix with the help of numerical. Click on the Link to Watch the VIDEO Explanation: Watch Video
Adjoint of a Matrix
That of Adjoint is defined only for square matrices. If A is a square matrix, then the adjoint of A is defined as the transpose of the matrix obtained by replacing the elements of A by their corresponding cofactors in that A. The adjoint of square matrix is denoted by adjoint A.
To find the adjoint of a square matrix, replace all its elements by their respective cofactors and then find its transpose.
For example : If matrix A has elements a11 a12 a13 a21 a22 a23 and a31 a32 a33.
Then replace each of the elements by its cofactors as shown.
Now we need to find the transpose of matrix of cofactors. This is done by writing the rows of the matrix of cofactors as columns to form the adjoint of the given matrix as shown so we get adjoint A.
Click in the button NUMERICAL.
Now try out the simple problem on a 2 cross 2 matrix and find its adjoint. Find a adjoint of a matrix minus 1 5 3 minus 2. To find adjoint A we need to first find the cofactors of minus 1 5 3 minus 2 i.e., we need to find A11 A12 A21 A22 key in the value for A11 use the OK button to check your typed answer Else use the solve button to get the value. Go Ahead and solve the problem.
You have successfully solved the problem.
Adjoint of a Matrix
That of Adjoint is defined only for square matrices. If A is a square matrix, then the adjoint of A is defined as the transpose of the matrix obtained by replacing the elements of A by their corresponding cofactors in that A. The adjoint of square matrix is denoted by adjoint A.
To find the adjoint of a square matrix, replace all its elements by their respective cofactors and then find its transpose.
For example : If matrix A has elements a11 a12 a13 a21 a22 a23 and a31 a32 a33.
Then replace each of the elements by its cofactors as shown.
Now we need to find the transpose of matrix of cofactors. This is done by writing the rows of the matrix of cofactors as columns to form the adjoint of the given matrix as shown so we get adjoint A.
Click in the button NUMERICAL.
Now try out the simple problem on a 2 cross 2 matrix and find its adjoint. Find a adjoint of a matrix minus 1 5 3 minus 2. To find adjoint A we need to first find the cofactors of minus 1 5 3 minus 2 i.e., we need to find A11 A12 A21 A22 key in the value for A11 use the OK button to check your typed answer Else use the solve button to get the value. Go Ahead and solve the problem.
You have successfully solved the problem.
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