Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If $A=\left[\begin{array}{ll}2 & 3 \\ 1 & 4\end{array}\right]$ and $B=\left[\begin{array}{cc}1 & -2 \\ 1 & 3\end{array}\right]$, then which of the following are incorrect?

A. $|A|=5$
B. $Adj~A=\left[\begin{array}{ll}4 & 3 \\ 1 & 2\end{array}\right]$
C. $A(Adj~A)=25 I$
D. $|3 B|=45$
E. $(A B)^{-1}=B^{-1} A^{-1}$

Choose the correct answer from the options given below:

Options:

B, C only

B, C, D only

A, B only

A, B, E only

Correct Answer:

B, C only

Explanation:

The correct answer is Option (1) - B, C only