STATEMENT - 1: A= [ array lll 4 & 0 & 4 2 & 3 & 2 1 & 2 & 1 array ], B= [ array lll 1 & 3…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
STATEMENT - 1: \[A=\left[\begin{array}{lll}
4 & 0 & 4 \\
2 & 3 & 2 \\
1 & 2 & 1
\end{array}\right], B=\left[\begin{array}{lll}
1 & 3 & 3 \\
1 & 4 & 3 \\
1 & 3 & 4
\end{array}\right]\], then \((\mathrm{AB})^{-1}\) does not exist.
STATEMENT - 2: Since, \(|A|=0,(A B)^{-1}=B^{-1} A^{-1}\) is meaningless.
- 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
(A) Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
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