Which one of the following is an eigenvector of the matrix
So option (a) only satisfys the condition
Suppose (λ1X) be an eigen pair consisting of an eigenvalue and its correx eigenvector for a real matrix |λI - A| = λ3 + 3λ2 + 4λ + 3. Let I be a (n x n) unit matrix, which one of the following statement is not correct?
An eigenvector of
The eigenvalues of the matrix
For the matrix one of the eigenvalues is 3. The other two eigenvalues are
The characteristic vector of the matrix corresponding to characteristic root 1 is
The eigenvalues of a skew symmetric matrix are
The minimal polynomial m(x) of Anxn each of whose element is 1 is
The characteristic equation of a 3 x 3 matrix A is defined as C(λ) = |λ - Al| = λ3 + λ2 + 2λ + 1 = 0. If l denotes identity matrix then the inverse of matrix A will be
Let A be area 4 x 4 matrix with characteristic polynomial C(x) = (x2 + 1)2 which of the following is true?
If A is 3 x 3 matrix over α, β, α ≠ β are the only characteristic roots (eigenvalues) of A in the characteristic polynomail of A is
If A is symmetric matrix λ1,λ2,.... ,λn be the eigenvalues of A and a11,a22,.....,ann is the diagonal entries of A. Then which of the following is correct?
The minimal polynomial of the 3 x 3 real matrix
A square matrix A is said to be idempotent if A2 = A. An idempotent matrix is non singular iff
be such that A has real eigenvalues then
then the eigenvalues of A are
Let A = [ajj] be an n x n matrix with real entries such that the sum of all the entries in each row is zero. Consider the following statements
(I) A is non-singular
(II) A is singular
(III) 0 is an eigenvalue of A
Which of the following is correct?
The minimal polynomial m(A) of
Let A be a 2 x 2 real matrix of rank 1. If A is not diagonalizable then
are given vectors and A and if P = [x1 x2] then P-1AP