Question

which is better in solving 3 unknowns in systems of linear eqns. Matrices or the long method?

Answer 1

what do you prefer? and what is easier or faster?

Answer 2

matrices if ur fast at matrix.. i prfr long matrix mks me cnfsd smtimes

Answer 3

matrices, personally, because you can see everything laid out in a more legible way... when i use the "long" method i make mistakes way easier :/

Answer 4

I am used in doing the long method long time already so the matrices is somewhat confusing because it is my first time. so what do you prefer?
should I practice more on matrices?

Answer 5

Practice matrices, it'll save you time eventually.

Answer 6

thanks! I will get myself used to using matrix.
I agree with you guys! ^_^

Answer 7

Yeah I have to agree - once you get up to 4, 5, 6 unknowns, matrices will save you big time

Answer 8

Also, the technique to solve linear equations with matrices is used all sorts of different applications of matrices. So you'll learn them faster too.

Answer 9

I also prefer matrix even if it is the first time using it because it is clear unlike the long method so many equations^_^

Answer 10

I just don't know why some of my classmates think matrix is harder^_^

Answer 11

Well, it's harder to see what you're doing I guess.

Answer 12

i have a question

Answer 13

note matrices habve a major advantage of being computer solvable- so if you a re allowed programmable calculators or calculators with matrix functions.Those would be the definate methode to go

Answer 14

is the first equation should not be disturb or change?
only the 2nd and 3rd are the one you will make it equal to zero?
is it always like that?

Answer 15

not necessarily...all equations are equivalent remember in the matrix method...you could switch rows of the matrix equation ...the symmetry of the equations is the cause of this

Answer 16

like

1 2 3
0 2 3
0 0 3

Answer 17

it should be like that?

Answer 18

1 2 3 ] 1
0 2 3 ] 2
0 0 3 ] 3

Answer 19

Now you could substract the third row from the first and seconde row to get even more zeros.
100
010
001
is the ideal situation.

Answer 20

yes....the end is certainly that but ... that exist for convenience ....it is possible to solve the equations by flipping the rows .....though it is not recommended as most methods have been standardized for this system type.

Answer 21

note :if you flipped rows you are simply changing the representation not the actual data contained by those numbers

Answer 22

what is identity and conditional eqns.?

Answer 23

just curious because my teacher mentioned it and i forgot what is it

Answer 24

An identity equation is true for all values of the variables. x(x+1)=x^2+x for example.

A conditional equation is only true for certain values: x=4 for example is of course only true if x is 4.

Answer 25

thomas is correct ....a more general definition would involve an explanation of the operator theory(identity operator ,existence scenario's etc) at what level do you wish to study equations?

Answer 26

i am in 4th year high school
our next lesson will be about graphing i think like sketch a graph of f(x)= x^3- x^2-6x
but i'll just ask questions about this when we already discussed this ^_^