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the maximum and minimum value of (3x3) determenent whose elements belong to { 0 1 2 3 } is 1)9,-9 2)15,-15 3) 54,-54 4)32 ,-32

the maximum and minimum value of (3x3) determenent whose elements belong to { 0 1 2 3 } is
1)9,-9 2)15,-15 3) 54,-54 4)32 ,-32

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
please find the answer to your question below
From the given data and for a 3X3 deteminent
maximum value occurs for the matrix\begin{bmatrix} 3 & 0 &3 \\ 3& 3 &0 \\ 0 &3 &3 \end{bmatrix}=54
Similarly we get minimum value for the matrix\begin{bmatrix} 0& 3 &3 \\ 3& 3 &0 \\ 3 &0 &3 \end{bmatrix}=-54
Hence 3 is the correct answer

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