Question:
For a 4 x 4 matrix \(M\isin M_4(\mathbb{C})\), let M denote the matrix obtained from M by replacing each entry of M by its complex conjugate. Consider the real vector space
H = \(\{M\isin M_4(\mathbb{C}):M^T=\overline M\)
where MT denotes the transpose of M. The dimension of H as a vector space over \(\R\) is equal to
For a 4 x 4 matrix \(M\isin M_4(\mathbb{C})\), let M denote the matrix obtained from M by replacing each entry of M by its complex conjugate. Consider the real vector space
H = \(\{M\isin M_4(\mathbb{C}):M^T=\overline M\)
where MT denotes the transpose of M. The dimension of H as a vector space over \(\R\) is equal to
H = \(\{M\isin M_4(\mathbb{C}):M^T=\overline M\)
where MT denotes the transpose of M. The dimension of H as a vector space over \(\R\) is equal to
Updated On: Oct 1, 2024
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- 16
- 15
- 12
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The Correct Option is B
Solution and Explanation
The correct option is (B): 16
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