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Mathematics · JEE | MATRICES
हिन्दीMatch List-I with List-II: List-I List-II A \( A + A' \) I Always zero trace B \( A - A' \) II Always symmetric matrix C \( (AB)^{-1} \) III Orthogonal condition D \( A'A = I \) IV \( B^{-1}A^{-1} \) Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I | List-II | ||
|---|---|---|---|
| A | \( A + A' \) | I | Always zero trace |
| B | \( A - A' \) | II | Always symmetric matrix |
| C | \( (AB)^{-1} \) | III | Orthogonal condition |
| D | \( A'A = I \) | IV | \( B^{-1}A^{-1} \) |
Choose the correct answer from the options given below:
View Answer & Solution
Correct answer · Option C
A-(II), B-(I), C-(IV), D-(III)
Explanation
A matches II (symmetric), B matches I (skew-symmetric has zero trace), C matches IV (reversal law), D matches III (orthogonal matrix).
