Solve Matrice Problem: X = 4A - 4B

  • Thread starter Thread starter TonyC
  • Start date Start date
AI Thread Summary
To solve the matrix problem X = 4A - 4B, first multiply each element of matrices A and B by 4. Then, subtract the corresponding elements of the scaled matrices. This approach clarifies the steps needed to find matrix X. The discussion highlights the realization that the solution involves straightforward element-wise operations. Understanding these basic matrix operations is crucial for solving similar problems.
TonyC
Messages
86
Reaction score
0
I am having a problem grasping the following matrice problem: (any help is appreciated)

Solve for X given:

10 7 -6 -10 1 6
A= -10 -3 -4 B= -1 -4 0
-8 -5 -9 -5 -2 3

X=4A-4B

How do I start?
 
Physics news on Phys.org
10 7 -6 -10 1 6
A= -10 -3 -4 B= -1 -4 0
-8 -5 -9 -5 -2 3
 
Sorry, that didn't translate well into the post
 
If I understand the 'problem' correct it's just multiplying both matrices by 4 (elementswise) and then subtract them (again elementswise)... Don't youuknow how to do that?
 
Bingo, the light came on after I wrote it and pondered it for a while.

Thanks
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
Back
Top