1 Crore+ students have signed up on EduRev. Have you? Download the App 
For the matrix the eigen value corresponding to the eigenvector
For which value of x will the matrix given below become singular?
If a square matrix A is real and symmetric, then the eigenvaluesn
The matrix has one eigenvalue equal to 3. The sum of the other two eigenvalues is
For a matrix the transpose of the matrix is equal to the inverse of the matrix, The value of x is given by
The matrix has one eigen value equal to 3. The sum of the other two eigen values is
In the matrix equation Px = q which of the following is a necessary condition for the existence of at least one solution for the unknown vector x:
Cayley  Hamiltion Theorem states that square matrix satisfies its own characteristic equation, Consider a matrix
A satisfies the relation
The characteristic equation of a (3×3) matrix P is defined as If I denote identity matrix, then the inverse of matrix P will be
Let P be a 2×2 real orthogonal matrix and s a real vector with length Then which one of the following statements is correct?
Let A be an n × n real matrix such that A^{2} = I and y = be an n – dimensional vector. Then the linear system of equations Ax = y has
A real n × n matrix A = {aij} is defined as follows:
a_{ij} = i = 0, if
i = j, otherwise
The summation of all n eigen values of A is
The following system of equations
has a unique solution. The only possible value(s) for a is/are
The number of different n × n symmetric matrices with each element being either 0 or 1 is: (Note : power (2, x) is same as 2x)
In an M × N matrix such that all nonzero entries are covered in a rows and b column. Then the maximum number of nonzero entries, such that no two are on the same row or column, is
Consider the following system of equation in three real variables x_{1}, x_{2} and x_{3}
This system of equations has
How many of the following matrics have an eigenvalue 1?
What are the eigen values of the following 2 × 2 matrix?
65 videos120 docs94 tests

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 
Vector Space : Properties of Vector Space  Linear Algebra Video  15:34 min 
65 videos120 docs94 tests

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 
Vector Space : Properties of Vector Space  Linear Algebra Video  15:34 min 