Let P be a matrix of order 3 x3 such that all the entries in P are from the set {-1, 0, 1}.

Question

Let P be a matrix of order 3 x3 such that all the entries in P are from the set {-1, 0, 1}.

Let P be a matrix of order 3 x3 such that all the entries in P are from the set {-1, 0, 1}. Then, the maximum possible value of the determinant of P is _____ .

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Answer: 4

Solution:

If 0 is used maximum can only be 4
If 0 not used then by using only {–1, 1} can only form matrix with maximum determinant value 4

4 views Answered 2023-02-05 15:29