Eigen vector, Eigen value 3x3 Matrix Calculator


Find the eigenvector and eigenvalues of a 3x3 matrix A using the 3x3 identity matrix. Eigenvectors-Eigenvalues can be defined as while multiplying a square 3x3 matrix by a 3x1 (column) vector. The result is a 3x1 (column) vector. The 3x3 matrix can be thought of as an operator - it takes a vector, operates on it, and returns a new vector. There are some instances in mathematics and physics where we are interested in which vectors are left "essentially unchanged" by the operation of the matrix. A vector v for which this equation hold is called an eigenvector of the matrix A and the associated constant is called the eigenvalues of the vector v.
 
Regular Matrix A =

Scalar Matrix (Z=c×I) =

 
 
|A| =
Trace of A =
 
Singular Matrix (A - c×I) =

 
|A - c×I| =
Eigenvalue of c1 = +   i
Eigenvalue of c2 = +   i
Eigenvalue of c3 = +   i
c1 in Eigenvector (x,y,z) values =
c2 in Eigenvector (x,y,z) values =
c3 in Eigenvector (x,y,z) values =