If $A=\left[\begin{array}{ll}a& b\\ c& d\end{array}\right],$ then $Adj A$ is
 

Important Questions on Adjoint and Inverse of a Matrix

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 5

If $A$ is a singular matrix, then $\mathrm{adj}A$ is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 6

If $A, B$ are two $n\times n$ non-singular matrices, then
 

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 7

If $A=\left[\begin{array}{lll}a& 0& 0\\ 0& a& 0\\ 0& 0& a\end{array}\right],$ then the value of $|adjA|$ is
 

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 8

If $A=\left[\begin{array}{rrr}1& 2& -1\\ -1& 1& 2\\ 2& -1& 1\end{array}\right],$ then det $(adj(adjA\left)\right)$ is


 

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 9

If $B$ is a non-singular matrix and $A$ is a square matrix, then det $\left(B^{-1}AB\right)$ is equal to
 

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 10

For any $2\times 2$ matrix, if $A\left(adjA\right)=\left[\begin{array}{cc}10& 0\\ 0& 10\end{array}\right],$ then $\left|A\right|$ is equal to

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 11

If $A^5=O$ such that $A^n\ne I$ for $1\le n\le 4,$ then $(I-A{)}^{-1}$ equals
 

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 12

If $A$ satisfies the equation $x^3-5x^2+4x+\lambda =0,$ then $A^{-1}$ exists if