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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 A^{2} are:
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 A^{T} are
Since, the eigenvalues of A and A^{T }are square so the eigenvalues of A^{T} are 2 and 4.
If 1 and 3 are the eigenvalues of a square matrix A then A^{3} 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 3rowed square matrix such that A = 2, then adj(adj A^{2}) is equal to:
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 skewsymmetric even ordered matrix A should be a perfect square.
For orthogonal matrix
From linear algebra for A_{nxn} triangular matrix . DetA = The product of the diagonal entries of A.
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