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What is density matrix in quantum mechanics?
It is a Hermitian positive-semidefinite matrix of trace one that describes the statistical state of a quantum system. Hermitian matrix is defined as A=A^(dagger). Meaning that NxN matrix A is equal to it's transposed complex conjugate. Trace is defined as adding all the terms on the diagonal.
These matrices represent the coordinates of two figures in the plane. Is the product of these matrices defined Answer yes or no?
no
Why rectangular matrix have no inverse in linear algebra?
Inverse matrices are defined only for square matrices.
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.
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.
When adding or subtracting matrices do the dimensions of the sum or differences always match the original matrices?
Yes, because otherwise addition and subtraction are not defined.
What is the dictionary meaning of the word Definite?
The dictionary word meaning of the word Definite is: clearly defined or determined, not vague or general, fixed, precise, and exact. It also means positive, certain and sure.
Do liquids take a definite amount of space but do not have a definite shape?
Yes. To clarify: Solids : Take up a definite space and have defined shape Liquids : Take up a definite space but have no defined shape Gas : Have no defined space or shape.
Multiplication of 2x2 matrices is commutative?
No. Multiplication of matrices is, in general, non-commutative, due to the way multiplication is defined.
What is the determinant of a 2x1 matrix?
The determinant is only defined for square matrices.
What are liquids defined as?
liquids are defined as matter that has a indefinite shape but a definite volume
What term is defined as the state of matter that has a definite volume but not definite shape?
That would be a liquid.
