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

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 13

If for the matrix $A,A^3=I,$ then $A^{-1}=$
 

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 14

If $A$ and $B$ are square matrices such that $B=-A^{-1}BA,$ then $(A+B{)}^2=$

 

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 15

 If $A=\left[\begin{array}{lll}2& 0& 0\\ 0& 2& 0\\ 0& 0& 2\end{array}\right]$ then $A^5=$