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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Matrices

NDA 2014 · Mathematics · Matrices

If A is an invertible matrix, then what is (A^ -1 ) equal to?

If AA is an invertible matrix, then what is det⁡⁡(A−1)equalto?\operatorname\det \left(\mathrm{A}^{-1}\right) equal to?

Options

  1. Adet⁡⁡A\operatorname\det \mathrm{A}
  2. B1det⁡⁡A\frac{1}{\operatorname\det \mathrm{ A}}
  3. C1
  4. DNone of these

Correct answer

B. 1det⁡⁡A\frac{1}{\operatorname\det \mathrm{ A}}

Step-by-step solution

The correct answer is option (B)
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