Dimension of V in 2x2 Hermetic Matrix

In summary, the dimension of V in a 2x2 Hermitian matrix is 2. Additionally, the dimension of V is related to the size of the matrix, where it is equal to the number of rows (or columns) in the matrix. V represents the vector space spanned by the eigenvectors of the matrix in a 2x2 Hermitian matrix. The dimension of V cannot be greater than the size of the matrix, and in a non-square Hermitian matrix, it is equal to the number of linearly independent eigenvectors of the matrix.
  • #1
TuviaDaCat
85
1
V is the vector plane of all hermetic matrix in order of 2x2.
what is the dimension of V?
 
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  • #2
"Hermetic matrix"? Is it possible you mean "Hermitian" matrices of order 2x2? I don't recognize the term "hermetic" matrix and google gives references to biology and "Bolognese Humanism"!
 
  • #3
first of all, erg.. wrong forum
second i used a term also used in hebrew... the nature of the word isn't in hebrew so i thought its global, anyway sry wrong forum
 

FAQ: Dimension of V in 2x2 Hermetic Matrix

What is the dimension of V in a 2x2 Hermitian matrix?

The dimension of V in a 2x2 Hermitian matrix is 2.

How is the dimension of V related to the size of the matrix?

The dimension of V is equal to the number of rows (or columns) in the matrix. In a 2x2 matrix, the dimension of V is 2.

What does V represent in a 2x2 Hermitian matrix?

In a 2x2 Hermitian matrix, V represents the vector space spanned by the eigenvectors of the matrix.

Can the dimension of V be greater than the size of the matrix?

No, the dimension of V cannot be greater than the size of the matrix. In a 2x2 matrix, the dimension of V can only be 2 at most.

How is the dimension of V calculated in a non-square Hermitian matrix?

In a non-square Hermitian matrix, the dimension of V is equal to the number of linearly independent eigenvectors of the matrix.

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