\"\"

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Observe the matrix; the matrix has 3 rows and 3 columns.

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So, the dimensions of matrix are \"\".

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The determinant of a \"\" matrix is called third-order determinant.

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Evaluate the third-order determinant using expansion by minors method \"\"\"\"

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Find the determinant using third-order determinant definition.\"\"\"\"

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Evaluate the \"\" determinants using second-order determinant definition.

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\"\"

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\"\"

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Product of two same sings is positive. \ \

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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The determinant is 120.