AboutScott A Wilson Expertise I can answer any question in general math, algebra, complex mathematics, trigonometry, pre-calculus, probability, statistics, ... is there an end to this list?
Experience Experience in the area; I have tutored people over the years in algebra, basic math, and statistics.
I worked at The Boeing Company for over 5 years.
Education/Credentials: MS degreee in Mathematics from Oregon State Univeristy; taken well over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more.
I graduated with honors.
Past/Present Clients: College Students at OSU, various math people since college, over 700 people in math and calculus.
Expert: Scott A Wilson Date: 5/7/2008 Subject: system of equations
Question could you help me figure this system of equations out by solving for the variables b1, d1, a2, b2, c2, d2, when a1= 5 and c1=0
5=a1
10=a1+2b1+4c1+8d1
10=a2+2b2+4c2+8d2
40=a2+4b2+16c2+64d2
b1+4c1+12d1=b2+4c2+12d2
2c1+12d1=2c2+12d2
2c1=0
2c2+24d2=0
Answer Put this in matrix format first with the variables in the order
a1, b1, c1, d1, a2, b2, c2, d2. Line up the equations underneath.
1 0 0 0 0 0 0 0 5
1 2 4 8 0 0 0 0 10
0 0 0 0 1 2 4 8 10
0 0 0 0 1 4 16 64 40
0 1 4 12 0 -1 -4 -12 0
0 0 2 12 0 0 -2 -12 0
0 0 2 0 0 0 0 0 0
0 0 0 0 0 0 2 24 0
Solve by going across the matrix. Find one equation to reduce to 1 and subtract it from the other equations to make that column 0.
Take the first equation,
1 0 0 0 0 0 0 0 5
and subtract it from
1 2 4 8 0 0 0 0 10
giving
0 2 4 8 0 0 0 0 5
Divide this equation by 2, giving
0 1 2 4 0 0 0 0 2.5
Subtract it from from the fifth equation, giving
0 0 2 8 0 -1 -4 -12 -2.5.
Keep reducing in the same way until all of the variables are in only one equation (yes, that is a lot of steps and even more equations that need adjusting each time) and you'll have the answer. Note that the equations are in neat columns here and they would look better at that end if they were imported into a spreadsheet.
Hope this works for you and have a fun time doing the calculations. Feel free to write and ask me more about this or other questions.
