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Inverse matrices are defined only for square matrices.

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Q: Why rectangular matrix have no inverse in linear algebra?
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Related questions

Which matrix has no multiplicative inverse?

A rectangular (non-square) matrix.


What is the symbol for skew?

In linear algebra, a skew-symmetric matrix is a square matrix .....'A'


Who discovered matrix?

The first study of matrix algebra happened when Hermann Grassmann published "Theory of Extension" in 1844. In 1848, James Sylvester coined the term matrix while studying linear algebra.


What is matrix system?

A matrix is a rectangular array of elements - usually numbers. These, together with rules governing their addition and multiplication make up matrix algebra or system.


Define Co-factors of a matrix?

In linear algebra, the cofactor (sometimes called adjunct) describes a particular construction that is useful for calculating both the determinant and inverse of square matrices. Specifically the cofactor of the entry of a matrix, also known as the 'cofactor of that matrix', is the signed minor of that entry.Source: Boundless. "Cofactors, Minors, and Further Determinants." Boundless Algebra. Boundless, 06 Jul. 2016. Retrieved 27 Jul.


What is the relationship between linear algebra and economics?

Many problems in economics can be modelled by a system of linear equations: equalities r inequalities. Such systems are best solved using matrix algebra.


Solution to linear algebra problem?

It may or may not exist. If the matrix of coefficients is singular then there is no solution.


When is it important for a matrix to be square?

In the context of matrix algebra there are more operations that one can perform on a square matrix. For example you can talk about the inverse of a square matrix (or at least some square matrices) but not for non-square matrices.


What is leontief inverse matrix?

(I-A)-1 is the Leontief inverse matrix of matrix A (nxn; non-singular).


Is Inverse of the inverse matrix the original matrix?

Let A by an nxn non-singular matrix, then A-1 is the inverse of A. Now (A-1 )-1 =A So the answer is yes.


What are the matrix method of linear systems?

Consider the linear system of equations AX = YwhereX is a n x 1 matrix of variables,Y is a n x 1 matrix of constants, andA is an n x n matrix of coefficients.Provided A is not a singular matrix, A has an inverse, A-1, an n x n matrix.Premultiplying by A-1 gives A-1AX = A-1Y or X = A-1Y, the solution to the linear system.


Determinant of test?

The determinant of test is usually a scalar quantity. The determinant of a matrix is used to test whether a given matrix has an inverse or not. It is used to test for the linear dependence of the vectors.