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A is a square matrix of order n. l = ...

A is a square matrix of order n.
l = maximum number of distinct entries if A is a triangular matrix
m = maximum number of distinct entries if A is a diagonal matrix
p = minimum number of zeroes if A is a triangular matrix
If `l + 5 = p + 2 m`, find the order of the matrix.

Text Solution

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The correct Answer is:
4

`l=(n^(2)-n)/(2)+n+1`
`m=n+1`
`p=(n^(2)-n)/(2)`
`1+5=+2m " " rArr n=4`
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