 Hello friends welcome to the session I am Alka we are going to discuss matrices our question is assume x, y, z, w and p are matrices of order 2 cross n 3 cross k 2 cross p n cross 3 and p cross k respectively Choose the correct answer in exercise 21 and 22 exercise 21 is the restriction on n k and p so that P y plus w y will be defined are a a k equal to 3 p equal to n v k is arbitrary p equal to 2 c P is arbitrary k equal to 3 d k equal to 2 p equal to 3 now, let's start with the solution as you all know that Product of matrices is defined only if the number of columns of the first matrix is equal to the number of rows of the second matrix So now let's start It is given that order of matrix p equal to p cross k order of matrix y equal to 3 cross k Order of matrix W equal to n cross 3 So p y is defined Only if k equal to 3 and order of p y is given by P into k that is p into 3 similarly Order of W y equal to n cross k now as we all know that Edition of matrices is also possible if they both have the same order so to add Matrix p y and W y they are having the same order Order of p y should be equal to order of W y hence we get that P equal to n Therefore k equal to 3 and p equal to n does the answer is a hope you understood the solution and enjoyed the session Goodbye and take care