Matrix A = [a_ i j ]_ 3 3 defined such that : a_ i j = cc 2 i+3 j… - Vidyadip

MCQ

Matrix $A =\left[a_{i j}\right]_{3 \times 3}$ defined such that :$
a_{i j}=\left\{\begin{array}{cc}
2 i+3 j, & i < j \\
5, & i=j \\
3 i-2 j, & i>j
\end{array}\right.
$
Number of elements in matrix A, having greater from
5 ?

✓
3
B
4
C
5
D
6

✓

Answer

Correct option: A.

3

(A)
$
\begin{array}{l}
\text { (A) Here } a_{11}=5, a_{12}=8, a_{13}=11 \\
a_{21}=4, a_{22}=5, \quad a_{23}=13 \\
a_{31}=7, a_{32}=5, a_{33}=5
\end{array}
$
3 elements having greater from 5.

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