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 $5$ ?

A
$3$
B
$4$
✓
$5$
D
$6$

✓

Answer

Correct option: C.

$5$

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

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