CameraIcon

SearchIcon

MyQuestionIcon

71

You visited us 71 times! Enjoying our articles? Unlock Full Access!

Multiplication of Matrices

Say true or f...

Question

Say true or false:
If $A$ , $B$ be two matrices such that they commute, then $A^{2} - B^{2} = (A - B) (A + B)$ .

A

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A True
$A$ and $B$ commute when $A B = B A$
Hence $(A - B) (A + B) = A^{2} + A B - B A - B^{2} = A^{2} - B^{2}$

Suggest Corrections

thumbs-up

0

Similar questions

Say true or false:

Let A, B be two matrices, such that

A B = A

B A = B

A^{2} = A

B^{2} = B

.

Q. Say true or false:

Let A, B be two matrices such that they commute, then

(A B)^{n} = A^{n} B^{n}

.

Q. Say true or false:

If A and B are square matrices of order n, then A and B will commute, if

| A - λ |

| B - λ |

commute for every scalar

λ

.

A

B

are two matrices such that

A B = B

B A = A

A^{2} + B^{2} =

A

B

are two matrices such that

A B = B

B A = A

A^{2} + B^{2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Multiplication of Matrices

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Multiplication of Matrices

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon