Question 10814 – APPSC-2016-DL-CS
May 10, 2024Question 10822 – APPSC-2016-DL-CS
May 10, 2024Question 10817 – APPSC-2016-DL-CS
The maximum number of non-zero elements of a n×n matrix whose [i,j]th element is equal to 0 for all i<j is
Correct Answer: B
Question 15 Explanation:
From given description we can conclude that all the elements above the diagonal are 0. So we can say that,
1st row will have 1 non-zero element,
2nd row will have 2 non zero elements,
3rd row will have 3 non-zero elements ,
:
:
:
nth row will contain n non-zero elements.
1st row will have 1 non-zero element,
2nd row will have 2 non zero elements,
3rd row will have 3 non-zero elements ,
:
:
:
nth row will contain n non-zero elements.
Therefore total no. of non-zero elements are,
1+2+3+………..+n = n(n+1)/2
n(n-1)/2
n(n+1)/2
n2
n
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