Which statement illustrates the Distributive Property of scalar multiplication? (Assume that A and B are matrices and c and d ar
e scalars.) A. A × B = B × A B. c(dA) = cd(A) C. cA − cB = c(A − B) D. cA + dB = cd(A + B)
2 answers:
Answer:
The correct answer is option C.
cA − cB = c(A − B)
Step-by-step explanation:
Distributive property of scalar multiplication
It is the product of sum or differences of numbers and with another number.
example
a*(b + c) = ab + ac
a (b - c) = ab - ac
It is given some options,the option C is the example illustrates the Distributive Property of scalar multiplication.
cA − cB = c(A − B)
Answer:
C. 
Step-by-step explanation:
Given that A and B are matrices and 
is a scalar, then the distributive property of scalar multiplication over addition is given by;
The distributive property of scalar multiplication over subtraction is
The correct answer is C.
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