Let A and B be matrices of orders 3 - 2 and 2 - 4 respectively- Write the order of matrix A B-

Since, the order of matrix A is nbsp;3 #215;2 and order of matrix B is nbsp;2 #215;4. So, the order of AB will be the quot;number of rows of A nbs ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Matrix Definition and Representation

Let A and B b...

Question

Let A and B be matrices of orders 3 $\times$ 2 and 2 $\times$ 4 respectively. Write the order of matrix AB.

Open in App

Solution

Since, the order of matrix A is 3 $\times$ 2 and order of matrix B is 2 $\times$ 4.

So, the order of AB will be the "number of rows of A $\times$ number of columns of B" = 3 $\times$ 4

Suggest Corrections

Similar questions

Q. If the order of matrices

A

and

B

are

3 \times 2

and

2 \times 1

respectively, then find the order of matrix (if possible)

A B

Q. If the order of matrices

A

and

B

are

3 \times 2

and

2 \times 1

respectively then find the order of matrix (if possible)

A B

Q. Let A and B be square matrices of same order satisfying AB = A and BA = B. Then

A^{2} B^{2}

equals, (O being the zero matrix of the same order as B)

Q. Let

A

and

B

be two symmetric matrices of order 3.
Statement-1:

A (B A)

and

(A B) A

are symmetric matrices.
Statement-2:

A B

is symmetric matrix if matrix multiplication of

A

and

B

is commutative.

Q. Let A and B be square matrices of same order satisfying AB = A and BA = B. Then

A^{2} B^{2}

equals, (O being the zero matrix of the same order as B)

Join BYJU'S Learning Program

Let A and B be matrices of orders 3×2 and 2×4 respectively. Write the order of matrix AB.

Since, the order of matrix A is 3×2 and order of matrix B is 2×4. So, the order of AB will be the "number of rows of A × number of columns of B" = 3 × 4

Let A and B be matrices of orders 3 $\times$ 2 and 2 $\times$ 4 respectively. Write the order of matrix AB.

Since, the order of matrix A is 3 $\times$ 2 and order of matrix B is 2 $\times$ 4.

So, the order of AB will be the "number of rows of A $\times$ number of columns of B" = 3 $\times$ 4