Given below are two statements. STATEMENT - 1: The inverse of the matrix A= [a_ i j ]_ n…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
Given below are two statements.
STATEMENT - 1: The inverse of the matrix \(A=\left[a_{i j}\right]_{n \times n}\) where \(\mathrm{a}_{\mathrm{ij}}=0, \mathrm{i} \geq \mathrm{j}\) is
\(\mathrm{E}=\left[\mathrm{a}_{\mathrm{ij}}^{-1}\right]_{\mathrm{n} \times \mathrm{n}}\)
STATEMENT - 2: The determinant of a skew-symmetric matrix of odd order is zero.
In the light of the above statements, choose the correct answer from the options given below:
- Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
- Both the statements are true but Statement - 2 is not the correct explanation of Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(D) Statement - 1 is false and Statement - 2 is true
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