MyQuestionIcon

4

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

Multiplication of Matrices

In A and B ar...

Question

In A and B are two matrices and if AB exists, then BA exists

A

Only if A has as many rows as B has columns

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

B

Only if both A and B are square matrices

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

C

Only if A and B are skew symmetric matrices

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

D

Only if both A and B are symmetric .

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

Open in App

Solution

The correct option is A Only if A has as many rows as B has columns
If A and B are two matrices of order $m \times n$ and $p \times q$ respectively then BA will exist only if q=m

Suggest Corrections

thumbs-up

3

Similar questions

If $A$ and $B$ are two matrices such that $A B = B$ and $B A = A,$ then

Q. If A and B are two matrices of orders a × 3 and 3 × b respectively such that AB exists and is of order 2 × 4. Then, (a, b) = ___________.

Q. For the matrices

A

B

A B

B A

does not exist. What can you say about the order of

A

B

A

B

are two matrices such that

A B = B, B A = A

[A

B

are not null matrices].

[A]_{n \times m}, [B]_{m \times m},

are the two matrices. If multiplication AB exist, then

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Matrix Multiplication

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Multiplication of Matrices

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon