Suppose A is a 4x2 matrix, B is a 2x2 matix & C is a 2x5 matrix. Which of the following is not defined?

a. CC


b. (AB)C


c. AB+3A


d. AC


e. All are defined








For the matrice defined, what is the dimension of BC+C?





a. 2x5


b. 4x10


c. 5x2


d. it's not defined


e. none of the above

Suppose A is a 4x2 matrix, B is a 2x2 matix %26amp; C is a 2x5 matrix. Which of the following is not defined?
This is trying to teach you the rules of matrix addition and multiplication.


1) To add 2 matricies, the dimensions must be the same.


2) To multiply 2 matricies XY, the columns of X must equal the rows of Y. The result is the rows of X by the columns of Y.





Hence a. CC is not defined.C (2x5)*(2x5) is not defined since columns of C do not equal rows of C





BC =%26gt; (2x2)(2x5) =%26gt; 2x5


BC(2x5) + C (2x5) =%26gt; 2x5
Reply:a) for both questions
Reply:Suppose A is a 4x2 matrix, B is a 2x2 matix %26amp; C is a 2x5 matrix. Which of the following is not defined?


a. CC Not defined


b. (AB)C Defined


c. AB+3A Defined


d. AC Defined.


e. All are defined. Not correct.


Answer =(a)








For the matrice defined, what is the dimension of BC+C?





a. 2x5 correct


b. 4x10


c. 5x2


d. it's not defined


e. none of the above





Answer = (a)
Reply:#1: (a) because you cannot multiply a 2x5 with a 2x5 (inner dimensions must match)





#2: (a)





if you multiply (A x B) * (C x D), B must equal C and the product will have dimensions (A x D)

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