Explanation: The main drawback is that it needs a lot of calculations and hence it is lengthy, so new faster methods are developed to remove this drawback.,
Which of the following is not a necessary condition for a matrix say A to be diagonalizable?
Explanation: A must have n linearly dependent eigen vectors is not a necessary condition for a matrix, say A, to be diagonalizable. The theorem of diagonalization tells us that, 'An n×n matrix A is diagonalizable, if and only if, A has n linearly independent eigenvectors.18-Jan-2021
Which property ensures that inverse of a matrix exists?
If the determinant of the matrix A (detA) is not zero, then this matrix has an inverse matrix. This property of a matrix can be found in any textbook on higher algebra or in a textbook on the theory of matrices.
How do you find adjoint and inverse of a matrix?
Properties of Inverse and Adjoint of a Matrix Property 1: For a square matrix A of order n, A adj(A) = adj(A) A = |A|I, where I is the identitiy matrix of order n. Property 2: A square matrix A is invertible if and only if A is a non-singular matrix.
Is adjoint and inverse the same?
The adjugate or adjoint of a matrix is the transpose of the cofactor matrix, whereas inverse matrix is a matrix which gives the identity matrix when multiplied together.07-Dec-2012
Which of the below condition is incorrect for the inverse of a matrix?
6. Which of the below condition is incorrect for the inverse of a matrix A? Explanation: The matrix should not be a singular matrix. A square matrix is said to be singular |A|=0.
Which of the following method is used for obtaining the inverse of matrix?
Gauss-Jordan Method is a variant of Gaussian elimination in which row reduction operation is performed to find the inverse of a matrix.31-Jul-2021
Which matrix does not have an inverse by solving it is classified as which of the following?
Matrix which does not have an inverse by solving it, is classified as which of the following? Clarification: This is because singular matrices do not have inverse, because the value of their determinant is zero. 4.
How do you find the inverse of adjoint?
A square matrix A is invertible if and only if its determinant is not zero, and its inverse is obtained by multiplying the adjoint of A by (det A) −1. [Note: A matrix whose determinant is 0 is said to be singular; therefore, a matrix is invertible if and only if it is nonsingular.]