Question

A matrix A = [a_ij]_{3 × 3} is defined by 

`a_(ij) = {{:(2i + 3j",", i < j),(5",", i = j),(3i - 2j",", i > j):}`

The number of elements in A which are more than 5, is ______.

पर्याय

• 3

• 4

• 5

• 6

Answer 1

A matrix A = [a_ij]_{3 × 3} is defined by 

`a_(ij) = {{:(2i + 3j",", i < j),(5",", i = j),(3i - 2j",", i > j):}`

The number of elements in A which are more than 5, is 4.

Explanation:

Here, A = `[(5, 8, 11),(4, 5, 13),(7, 5, 5)]`

Thus, number of elements more than 5, is 4.