Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If A and B are square matrices of the same order, then (A+B) (A-B) is equal to

Options:

$A^2-B^2$

$A^2-BA-AB-B^2$

$A^2-BA+B^2+AB$

$A^2-B^2+BA-AB$

Correct Answer:

$A^2-B^2+BA-AB$

Explanation:

The correct answer is Option (4) → $A^2-B^2+BA-AB$

$(A+B) (A-B)$

$=A^2-AB+BA-B^2$