If A and B are square matrices of order

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If A and B are square matrices of order $n \times n$, then $(A-B)^2$ is equal to:

A. $A^2-A B-B A+B^2$
B. $A^2-2 A B+B^2$
C. $A^2-2 B A+B A$
D. $A^2-B^2$
E. $A^2+2 A B+B^2$

Choose the correct answer from the options given below:

Options:

E only

C and E only

A only

A and C only

Correct Answer:

A only

Explanation:

The correct answer is Option (3) → A only

$(A-B)^2=(A-B)(A-B)$

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