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Find the co-factor of the element of the following matrix: [-12-34] - Mathematics and Statistics

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प्रश्न

Find the co-factor of the element of the following matrix:

`[(-1, 2),(-3, 4)]`

बेरीज

उत्तर

Let A = `[(-1, 2),(-3, 4)]`

Here, a11 = −1, M11 = 4

∴ A11 = (−1)1+1(4) = 4

a12 = 2, M12 = −3

∴ A12 = (−1)1+2(−3) = 3

a21 = −3, M21 = 2

∴ A21 = (−1)2+1(2) = −2

a22 = 4, M22 = −1

∴ A22 = (−1)2+2(−1) = −1

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