True or false:If λ is an eigenvalue of an nxn matrix A, then the matrix A-XI is singular. Justify your answer.O False. If is an eigenvalue of A then det(A-XI) = 0. If the determinant of a matrix is zero, then the matrix is nonsingular.O True. If A is an eigenvalue of A then det(A-XI) = 0. If the determinant of a matrix is not zero, then the matrix is singular.O True. If X is an eigenvalue of A then det(A-XI) = 0. If the determinant of a matrix is zero, then the matrix is singular.O True. If > is an eigenvalue of A then det(A-XI) = 1. If the determinant of a matrix is one, then the matrix is singular.O False. If is an eigenvalue of A then det(A-XI) = 0. If the determinant of a matrix is not zero, then the matrix is nonsingular.

Defining Eigenvalues and Their Associated Eigenvectors λ is an eigenvalue of n × n matrix A, and v…

True or false: If A is an eigenvalue of an nxn matrix A, then the matrix A-XI is singular. Justify your answer. O False. If is an eigenvalue of A then det(A-XI) = 0. If the determinant of a matrix is zero, then the matrix is nonsingular. O True. If A is an eigenvalue of A then det(A-XI) = 0. If the determinant of a matrix is not zero, then the matrix is singular. O True. If A is an eigenvalue of A then det(A-XI) = 0. If the determinant of a matrix is zero, then the matrix is singular. O True. If A is an eigenvalue of A then det(A-XI) = 1. If the determinant of a matrix is one, then the matrix is singular. O False. If is an eigenvalue of A then det(A-XI) = 0. If the determinant of a matrix is not zero, then the matrix is nonsingular.