Home
Class 12
MATHS
If A is an mxxn matrix and B is nxxp mat...

If `A` is an `mxxn` matrix and `B` is `nxxp` matrix does `A B` exist? If yes, write its order.

Text Solution

Verified by Experts

Given: `A` is an `mxxn` matrix and `B` is `nxxp`
As the number of columns in A =number of rows in B=n
`implies AB `exist
Then
The order of `AB =` number of rows in` A xx` number of columns in `B= mxxp`
Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA|Exercise QUESTION|1 Videos
  • ALGEBRA OF VECTORS

    RD SHARMA|Exercise Solved Examples And Exercises|331 Videos

Similar Questions

Explore conceptually related problems

If A is an invertible matrix and B is a matrix, then

If A is a mtimesn matrix and B is a matrix such that both AB and BA are defined, then the order of B is

If A is a 3xx3 matrix and B is a matrix such that A^TB and BA^(T) are both defined, then order of B is

If A is a 3xx4 matrix and B is matrix such that A^(T)B and BA^(T) are both define then order of B is :

If A is a 3xx4 matrix and B is matrix such that A^(T)B and BA^(T) are both define then order of B is :

If A is a 3x3 matrix and B is its adjoint matrix the determinant of B is 64 then determinant of A is

If A is any mxxn matrix such that AB and BA are both defined, then B is a matrix of order

If A is a 23 matrix and B is 32 matrix,then the order of (AB)^(T) is equal to the order of

If A is a matrix of order 3xx4 and B is a matrix of order 4xx5 , what is the order of the matrix (AB)^(T) ?

If A is a matrix of order 3xx7 and B is a matrix of order 7xx3 then what will be the order of the matrix AB and BA ?