Answer:
The required position of the particle at time t is: 
Step-by-step explanation:
Consider the provided matrix.



The general solution of the equation 

Substitute the respective values we get:


Substitute initial condition 

Reduce matrix to reduced row echelon form.

Therefore, 
Thus, the general solution of the equation 


The required position of the particle at time t is: 
Answer:
1 out of 6
Step-by-step explanation:
Answer:
0.48.
Step-by-step explanation:
There are 2 ways that a tail lands once:-
Tail + head or
head + tail.
Prob(Tail on one throw) = 0.4
Prob(Head on one throw) = 1 - 0.4 = 0.6.
Prob(Tail first then head) = 0.4 * 0.6 = 0.24
Head then tail has the same probability (0.6*0.4).
So the requred probability = 0.24 + 0.24
= 0.48.
2 1/4 pounds are left of the clay :)