Question:
LIST I (Type of the Matrix) LIST II (Property) A. Symmetric Matrix I. aij = aji, for values of i and j B. Hermitian Matrix II. aij = āji, for values of i and j C. Skew-Hermitian matrix III. aij = -āji, for values of i and j D. Skew-Symmetric matrix IV. aij = -aji, for values of i and j
Choose the correct answer from the options given below:
| LIST I (Type of the Matrix) | LIST II (Property) | ||
|---|---|---|---|
| A. | Symmetric Matrix | I. aij = aji, for values of i and j | |
| B. | Hermitian Matrix | II. aij = āji, for values of i and j | |
| C. | Skew-Hermitian matrix | III. aij = -āji, for values of i and j | |
| D. | Skew-Symmetric matrix | IV. aij = -aji, for values of i and j |
Show Hint
Symmetric matrices satisfy aij = aji, while skew-symmetric matrices satisfy aij = −aji.
Updated On: Feb 11, 2026
- (A) - (I), (B) - (II), (C) - (III), (D) - (IV)
- (A) - (I), (B) - (III), (C) - (II), (D) - (IV)
- (A) - (II), (B) - (I), (C) - (IV), (D) - (III)
- (A) - (II), (B) - (III), (C) - (IV), (D) - (I)
Show Solution
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The Correct Option is D
Solution and Explanation
Symmetric matrices have \( a_{ij} = a_{ji} \).
Hermitian matrices have the same property as symmetric matrices, but they also have complex entries
Skew-Hermitian matrices have \( a_{ij} = -a_{ji} \).
Skew-Symmetric matrices also have \( a_{ij} = -a_{ji} \), but are specifically real matrices.
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