Which statement illustrates the distributive property of scalar multiplication? (assume that a and b are matrices and c and d are scalars.) a. a × b = b × a b. c(da) = cd(a) c. ca − cb = c(a − b) d. ca + db = cd(a + b)

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.

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)

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