Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Which of the following statements are True or False If (AB)’ = B’A’, where A and B are not square matrices, then number of rows in A is equal to number of columns in B and number of columns in A is equal to number of rows in B.

Which of the following statements are True or False
If (AB)’ = B’A’, where A and B are not square matrices, then number of rows in A is equal to number of columns in B and number of columns in A is equal to number of rows in B.

Answers (1)

True

If A and B are any two matrices for which AB is defined, and (AB)’=B’A’.

$A is of order $m \times n$ and $B$ is of order $p \times q\\ (A B)^{\prime}=B^{\prime} A^{\prime} \\ \left.A_{(m \times n)} B_{(p \times q)}\right. \text { defined if } \Rightarrow n=p

A B is of order m \times q

(A B)^{\prime} is of order q \times m

$B' is order of $q \times p

A^{\prime}$ is of order $n \times m

B^{\prime} A^{\prime}$ is defined if $\Rightarrow p=n

B'A'$ is of order $q \times m

Hence given statement is true.

Posted by

infoexpert22

View full answer

Similar Questions

Latest Question