有限数学 示例

求伴随矩阵 -3A=[[-5,2],[-3,0]]
解题步骤 1
Consider the corresponding sign chart.
解题步骤 2
Use the sign chart and the given matrix to find the cofactor of each element.
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解题步骤 2.1
Calculate the minor for element .
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解题步骤 2.1.1
The minor for is the determinant with row and column deleted.
解题步骤 2.1.2
矩阵的行列式即为该元素本身。
解题步骤 2.2
Calculate the minor for element .
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解题步骤 2.2.1
The minor for is the determinant with row and column deleted.
解题步骤 2.2.2
矩阵的行列式即为该元素本身。
解题步骤 2.3
Calculate the minor for element .
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解题步骤 2.3.1
The minor for is the determinant with row and column deleted.
解题步骤 2.3.2
矩阵的行列式即为该元素本身。
解题步骤 2.4
Calculate the minor for element .
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解题步骤 2.4.1
The minor for is the determinant with row and column deleted.
解题步骤 2.4.2
矩阵的行列式即为该元素本身。
解题步骤 2.5
The cofactor matrix is a matrix of the minors with the sign changed for the elements in the positions on the sign chart.
解题步骤 3
Transpose the matrix by switching its rows to columns.