Our matrix C is the encoder. Let X be our secret message and let B be our encoded message. Therefore the relationship between the 3 can be represented as:
CX = B
So we want to solve for X (our secret message). So using matrix algebra:
X = C^-1*B
where C^-1 is the inverse of C.
C^-1 = | 3 -2 |
|4 -3 |
So we take C^-1 and multiply it by matrix B to get X. Matrix B is already given to us. So just multiply those two. I used a calculator to get:
X = | 20 8 5 3 15 12 15 |
| 18 9 19 2 12 21 5 |
And since A = 1, B = 2, C = 3, etc....
We decode our message and it says:
X = | T H E C O L O |
| R I S B L U E |
So the answer is: The color is blue (D)
Sound travels 10200m farther through stone in 17 seconds than through aluminium
Speed of sound in aluminium = 3100 m/s
The speed of sound in stone = 3700 m/s
Time taken = 17 minutes
Distance traveled = Speed x Time
Distance traveled by sound in aluminium in 17 seconds = 3100 x 17
Distance traveled by sound in aluminium in 17 seconds = 52700 m
Distance traveled by sound in stone in 17 seconds = 3700 x 17
Distance traveled by sound in stone in 17 seconds = 62900 m
Difference in the distance traveled = 62900 - 52700
Difference in the distance traveled = 10200 m
Sound travels 10200m farther through stone in 17 seconds than through aluminium
Learn more here: brainly.com/question/13096122
Answer:
D. 
Step-by-step explanation:
and
=0.5
