Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Algebra

Question:

If $A=\left[\begin{array}{cc}a & b \\ c & -a\end{array}\right]$ such that $A^2=I$ then which of the following is true?

Options:

$1+a^2+b c=0$

$1-a^2+b c=0$

$1-a^2-b c=0$

$1+a^2-b c=0$

Correct Answer:

$1-a^2-b c=0$

Explanation:

The correct answer is Option (3) → $1-a^2-b c=0$