Eigen Vectors Quiz

A vector that changes direction when a linear transformation is applied

A vector that has the same magnitude as the original vector

A vector that remains unchanged when a linear transformation is applied (correct)

A vector that is perpendicular to all other vectors

They provide a basis for understanding the behavior of a linear transformation (correct)

They are used to solve systems of linear equations

They are used to find the determinant of a matrix

They are used to calculate the rank of a matrix

Eigen vectors and eigenvalues are related through the characteristic equation of a matrix (correct)

Eigen vectors are always the reciprocals of the corresponding eigenvalues

Eigen vectors and eigenvalues are always orthogonal to each other

Eigen vectors and eigenvalues are independent of each other