MyQuestionIcon

4

You visited us 4 times! Enjoying our articles? Unlock Full Access!

Multiplication of Matrices

If A and B ar...

Question

If A and B are square matrices of the same order and AB = BA = A, then B is called ________ matrix.

A

unit

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

B

Scalar

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

C

diagonal

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

D

row

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

Open in App

Solution

The correct option is A
unit

Multiplicative property states that if A and I are square matrices of the same order and AI = IA = A then I represents unit or identity matrix.

Therefore B = I

Suggest Corrections

thumbs-up

0

Similar questions

A

B

are two square matrices of same order. If

A, B

are symmetric matrices and

A B = B A

A B

A

B

are square matrices of same order such that

A B = A

B A = B

A

B

are square matrices of same order satisfying

A + B = A B,

If A and B are square matrices of the same order and AB = BA = A, then B is called ________ matrix.

A

B

are square matrices of the same order such that

A^{2} = A, B^{2} = B, A B = B A = 0

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Adaptive Q1

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Multiplication of Matrices

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon