Let I be the identity matrix of order 3×3 and let A= λ 2 3 4 5 6 7 -1 2 with |A|=-1. Let B be the inverse of the matrix adj(A) adj(A²). Then |λ B + I| is equal to:

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q71

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

Let

I

be the identity matrix of order

3\times3

and let

A=\begin{pmatrix} \lambda & 2 & 3\\4 & 5 & 6\\7 & -1 & 2\end{pmatrix}

with

|A|=-1

. Let

B

be the inverse of the matrix

\mathrm{adj}(A)\,\mathrm{adj}(A^2)

. Then

|\lambda B + I|

is equal to:

Your answerInteger or decimal