Matrix Product?

Matrix Product?
Four models of one name brand “all in one fax, printer, copier, and scanner machine” are sold in three retail stores. The inventory of store i of model j is represented by sij in the matrix.

S = [ 16 10 8 12]
[ 12 0 10 4 ]
[ 4 12 0 8 ]

The wholesale and retail prices of model i are represented by pi1 and pi2 respectively, in the

matrix P = [ 0 9.99]
[ 5 9.99]
[ 5 9.99]
[ 0 9.99]

The matrix product SP tells us the wholesale and retail values of the inventory at all three stores.

a. true
b. false

Best answer:

a. true
when you multiply a 3 x 4 matrix with a 4 x 2 you get a 3 x 2
step 1 multiply the 1st row by the first col. and add
16×180 + 10X275 + 8X355 + 12X590 so its the inventory time the wholesale price.
Then mult. 1st row by 2nd col
16×269.99 + 10X399.99 + 8X499.99 + 12X799.99 so its the inventory time the retail price for the first store.

continue for the 2nd store and 3rd.

Tags: Matrix, product

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