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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

If the inverse of the matrix [α14-1231623] does not exists then find the value of α - Mathematics and Statistics

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प्रश्न

If the inverse of the matrix `[(alpha, 14, -1),(2, 3, 1),(6, 2, 3)]` does not exists then find the value of α

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उत्तर

As inverse of the matrix does not exist, its determinant is zero.

∴ `|(alpha, 14, -1),(2, 3, 1),(6, 2, 3)|` = 0

∴ α(9 – 2) – 14(6 – 6) –1(4 – 18) = 0

∴ α(7) – 0 + 14 = 0

∴ α = – 2

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पाठ 1.2: Matrics - Very Short Answer
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