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there are pseudo inverses for non-square matrices

a square matrix has an inverse only if the original matrix has full rank which implies that no vector is annihilated by the matrix as a multiplicative operator

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12y ago

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Can the elimnation matrices only be applied to square matrices?

Only square matrices have inverses.


Do all matrices have determinant?

Only square matrices have a determinant


Is it possible to solve for the determinant of a 3 x 4 matrix?

No. Determinants are only defined for square matrices.No. Determinants are only defined for square matrices.


How Every nonzero integer has a multiplicative inverse as an integer?

A nonzero integer does not have a multiplicative inverse that is also an integer. The multiplicative inverse of an integer ( n ) is ( \frac{1}{n} ), which is only an integer if ( n ) is ( 1 ) or ( -1 ). For all other nonzero integers, the result is a rational number, not an integer. Therefore, only ( 1 ) and ( -1 ) have multiplicative inverses that are integers.


What is the determinant rank of the determinant of 123456 its a 2 x 3 matrix?

A determinant is defined only for square matrices, so a 2x3 matrix does not have a determinant.Determinants are defined only for square matrices, so a 2x3 matrix does not have a determinant.


Why rectangular matrix have no inverse in linear algebra?

Inverse matrices are defined only for square matrices.


Can a nonsquare matrix be a triangular matrix?

No. Only square matrices can be triangular.


Why only square matrix have determinant?

The square matrix have determinant because they have equal numbers of rows and columns. <<>> Determinants are not defined for non-square matrices because there are no applications of non-square matrices that require determinants to be used.


Inverse of 2x1 matrix?

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Can matrices of the same dimension be multiplied?

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What number is equal to it opposit?

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