JAMIA 2024 — Mathematics PYQ
JAMIA | Mathematics | 2024A square matrix A=[aij]n×n is called a lower triangular matrix if
aij=0 for
Choose the correct answer:
- A.
i=j
- B.
i > j
- C.
i < j
(Correct Answer) - D.
None of these
i < j
Explanation
Solution:
Lower triangular matrix A=[aij]n×n ke liye condition:
Condition:
a_{ij} = 0 \quad \text{for} \quad i < j
Representation:
Ek 3×3 matrix ke roop mein:
A=a11a21a31amp;0amp;a22amp;a32amp;0amp;0amp;a33
Key Point:
-
Jab row number (i) column number (j) se chota hota hai, tab element 0 hota hai.
Final Answer:
\mathbf{i < j}
Explanation
Solution:
Lower triangular matrix A=[aij]n×n ke liye condition:
Condition:
a_{ij} = 0 \quad \text{for} \quad i < j
Representation:
Ek 3×3 matrix ke roop mein:
A=a11a21a31amp;0amp;a22amp;a32amp;0amp;0amp;a33
Key Point:
-
Jab row number (i) column number (j) se chota hota hai, tab element 0 hota hai.
Final Answer:
\mathbf{i < j}

