Let M= [ array lll 0 & 1 & a 1 & 2 & 3 3 & b & 1 array ] and adj M= [ array ccc -1 & 1 &…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
\[\text { Let } M=\left[\begin{array}{lll}
0 & 1 & a \\
1 & 2 & 3 \\
3 & b & 1
\end{array}\right] \text { and adj } M=\left[\begin{array}{ccc}
-1 & 1 & -1 \\
8 & -6 & 2 \\
-5 & 3 & -1
\end{array}\right]\]
where a and b are real numbers. Which of the following options is/are correct?
where a and b are real numbers. Which of the following options is/are correct?
- det (adj M2) = 81
- a + b = 3
- If
then a – b + g = 3 - (adj M)–1 + adj M–1 = – M
Answer
(D) (adj M ) –1 + adj M –1 = – M
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