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If A Is an Invertible Matrix, Then Det (A−1) is Equal to - Mathematics

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प्रश्न

If A is an invertible matrix, then det (A1) is equal to ____________ .

विकल्प

  • det (A)

  • \[\frac{1}{det \left( A \right)}\]

  • 1

  • none of these

MCQ

उत्तर

\[\frac{1}{det \left( A \right)}\]

We know that for any invertible matrix A,

\[\left| A^{- 1} \right|\]

\[\frac{1}{\left| A \right|}\]

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Adjoint and Inverse of a Matrix - Exercise 7.4 [पृष्ठ ३९]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 7 Adjoint and Inverse of a Matrix
Exercise 7.4 | Q 29 | पृष्ठ ३९

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