Let A be of dimension 5 times 8 and B be of dimension 5 time

Let A be of dimension 5 times 8 and B be of dimension 5 times 5. Determine whether BA + A is defined. If it is defined, give the dimension. Smallcircle BA + A is not defined. BA + A is defined; the dimension of BA + A is 5 times 8. Smallcircle BA + A is defined; the dimension of BA + A is 5times 5. Smallcircle BA +A is defined; the dimension of BA + A is 8times5. Smallcircle BA + A is defined; the dimension of BA + A is 8times8.

Solution

given dimension of A is 5 x 8 ,dimension of B is 5 x 5

dimension of BA is 5 x 8

dimension of BA +A is 5 x 8

BA +A is defined :dimension of BA +A is 5 x 8