If A and B are square matrix of order n&

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If A and B are square matrix of order n × 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. $A^2-2 B A+B^2$
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

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

$=A.A-B.A-A.B+B.B$

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