Suppose the weights (in grams) and lengths (in centimeters) of three groups of laboratory animals are given by matrix A, where column 1 gives the lengths and each row corresponds to one group.

If the increase in both weight and length over the next 2 weeks is 20% for group I, 7% for group II, and 0% for group III, then the increases in the measures during the 2 weeks can be found by computing GA, where

(a) What are the increases in respective weights and measures at the end of these 2 weeks?
(b) Find the matrix that gives the new weights and measures at the end of this period by computing
(I + G)A
Where I is the 3 × 3 identity matrix.
Encoding messages Multiplication by a matrix can be used to encode messages. (We'll discuss decoding in the next section.) Given the code

and the code matrix

Transcribed Image Text:

12.5 250 A = 11.8 215 9.8 190 0.20 G=0 0.07 0