# Determinant

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**Determinant:**

Let then the determinant of the matrix A which is denoted by det (A) or |A| is defined by det (A) = a_{11}a_{22 }- a_{21}a_{12} .

**Example-1:
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Find the determinant of

**Example-2:
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**Cofactor Expansion:
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Let A = [ a_{ij }] be n n matrix . The coefficient A_{ij} od aij is defined as A_{ij} = ( -1)^{i j }det (M_{ij}).

**Example-3:
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Hence,