|1 Crore+ students have signed up on EduRev. Have you?|
If A is a non–singular matrix and the eigen values of A are 2 , 3 , -3 then the eigen values of A-1 are:
If -1, 2, 3 are the eigen values of a square matrix A then the eigen values of A2 are:
The sum of the eigenvalues of is equal to:
If 2, - 4 are the eigen values of a non–singular matrix A and |A| = 4, then the eigen values of adjA are:
If 2 and 4 are the eigen values of A then the eigenvalues of AT are
Since, the eigenvalues of A and AT are square so the eigenvalues of AT are 2 and 4.
If 1 and 3 are the eigenvalues of a square matrix A then A3 is equal to:
If A is a square matrix of order 3 and |A| = 2 then A (adj A) is equal to:
If 1, 2 and 5 are the eigen values of the matrix A then |A| is equal to:
Since the product of the eigenvalues is equal to the determinant of the matrix so: |A| = 1 x 2 x 5 = 10
If the product of matrices
is a null matrix, then θ and Ø differ by:
If A and B are two matrices such that A + B and AB are both defined, then A and B are:
If A is a 3-rowed square matrix such that |A| = 2, then |adj(adj A2)| is equal to:
then the value of x is:
Inverse matrix is defined for square matrix only.
A set of linear equations is represented by the matrix equation Ax = b. The necessary condition for the existence of a solution for this system is:
A must be invertible.
For a set of linear equations, Ax = b. The inverse of matrix A exists (i.e. |A| ≠ 0).
This is the necessary condition for the existence of a solution for this system.
Select a suitable figure from the four alternatives that would complete the figure matrix.
In each row (as well as each column), the third figure is a combination of all the elements of the first and the second figures.
For a skew symmetric even ordered matrix A of integers, which of the following will not hold true:
Determinant of a skew-symmetric even ordered matrix A should be a perfect square.
Matrix D is an orthogonal matrix The value of B is:
For orthogonal matrix
From linear algebra for Anxn triangular matrix . DetA = The product of the diagonal entries of A.