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Find the sum of the Eigenvalues of the matrix
All the four entries of the 2 × 2 matrix are nonzero, and one of its eigen values is zero. Which of the following statements is true?
The three characteristic roots of the following matrix A
The sum of the eigenvalues of the matrix given below is
For which value of x will the matrix given below become singular?
Eigen values of a matrix are 5 and 1. What are the eigen values of the matrix S^{2} = SS?
The number of linearly independent eigenvectors of _{}
The eigenvectors of the matrix are written in the form . What is a + b?
One of the Eigenvectors of the matrix A = is
The minimum and the maximum eigen values of the matrix are –2 and 6, respectively. What is the other eigen value?
The state variable description of a linear autonomous system is, X= AX,
Where X is the two dimensional state vector and A is the system matrix given by
The roots of the characteristic equation are
For the matrix s one of the eigen values is equal to 2. Which of the following is an eigen vector?
x=[x1x2…..xn]^{T} is an ntuple nonzero vector. The n×n matrix V=xx^{T}
Let A be an n × n complex matrix. Assume that A is selfadjoint and let B denotes the inverse of (A + iI_{n}). Then all eigenvalues of (A  iI_{n})B are
If the rank of a (5×6) matrix Q is 4, then which one of the following statements is correct?
The trace and determinate of a 2 ×2 matrix are known to be – 2 and – 35 respectively. Its eigenvalues are
Identify which one of the following is an eigenvector of the matrix
61 videos120 docs94 tests

Test: Eigenvalues & Eigenvectors  2 Test  25 ques 
Determinants  Mathematics Doc  5 pages 
Engineering Mathematics Formulas for GATE Exam Doc  24 pages 
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61 videos120 docs94 tests

Test: Eigenvalues & Eigenvectors  2 Test  25 ques 
Determinants  Mathematics Doc  5 pages 
Engineering Mathematics Formulas for GATE Exam Doc  24 pages 
Test: Linear Algebra Test  20 ques 
Representations of Matrices and Graphs in Relations Doc  2 pages 