Then it has (not have!) a unique solution.
It may or may not exist. If the matrix of coefficients is singular then there is no solution.
True
Matrix inverses and determinants, square and nonsingular, the equations AX = I and XA = I have the same solution, X. This solution is called the inverse of A.
It isn't clear what you want to solve for. If you want to find the matrix, there is not a unique solution - there are infinitely many matrices with the same determinant.
Then it has (not have!) a unique solution.
It may or may not exist. If the matrix of coefficients is singular then there is no solution.
True
True
True
Yes, it does! Matrix Essentials Actrol Dandruff Solution. Its active ingredient is zinc pyrithoine, same as Head & Shoulders.
A matrix with a row or a column of zeros cannot have an inverse.Proof:Let A denote a matrix which has an entire row or column of zeros. If B is any matrix, then AB has an entire rows of zeros, or BA has an entire column of zeros. Thus, neither AB nor BA can be the identity matrix, so A cannot have an inverse, or A cannot be invertible.Since A is not invertible, then Ax = b has not a unique solution.
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Yes, copper is a solid solution of copper atoms in a copper matrix. It forms a solid solution when other elements, such as silver or nickel, are alloyed with copper as well.
Matrix inverses and determinants, square and nonsingular, the equations AX = I and XA = I have the same solution, X. This solution is called the inverse of A.
It isn't clear what you want to solve for. If you want to find the matrix, there is not a unique solution - there are infinitely many matrices with the same determinant.
Rank of a matrix is used to find consistency of linear system of equations.As we know most of the engineering problems land up with the problem of finding solution of a linear system of equations ,at that point rank of matrix is useful.