diff --git a/docs/ce1/math115.md b/docs/ce1/math115.md index 8e047d3..95cd67a 100644 --- a/docs/ce1/math115.md +++ b/docs/ce1/math115.md @@ -943,8 +943,8 @@ $$(A-\lambda I)\vec x=\vec 0$$ The determinant of the system can be used to check if there will be any eigenvectors. -- If $\det(A-\lambda I)=0$, there is exactly one solution which is the trivial solution, so $\lambda$ is **not an eigenvalue**. -- If $\det(A-\lambda I)\neq 0$, there are multiple solutions, so $\lambda$ is an eigenvalue. +- If $\det(A-\lambda I)=0$, there is exactly one solution which is the trivial solution, so $\lambda$ is **an eigenvalue**. +- If $\det(A-\lambda I)\neq 0$, there are multiple solutions, so $\lambda$ is **not** an eigenvalue. The **characteristic polynomial** of an eigenvalue is equal to its determinant, and can be used to solve for eigenvalues when $\lambda$ is unknown.