₦airaland Forum

DEGREE2466:
this is too rigorous

It is not, only if u grasp the principle behind it. 4 processes were taken b4 the magic matrix was derived. The steps are what u will wish to know

DEGREE2466:
3X+2Y-Z=1
2X-2Y+4Z=-2
-X+0.5Y-Z=0

3 2 -1 x = 1
2 -2 4 y =-2
-1 0.5 -1 z =0

after writing the numbers in a matrix format like this then input the values of the constants in the column of each variable you want to look for and divide by the determinant of the original matrix

example: if you want to find the value of x then

1 2 -1
-2 -2 4
0 0.5 -1

find the determinant of the above matrix and divideby the determinant of

3 2 -1
2 -2 4
-1 0.5 -1





so will you do for y and z and replacing the column of the places the appeared with the constants

What u just did was determinant over determinant. And that is cramas rule.

@ dnaija. I would have loved to do so but I'm in port Harcourt. Though I do come to Lagos FESTAC. How we go do am

Real truth @ ameer2. The limit of the sweet nature of maths is tending to infinity. That is for me.

Lol @ kestolove95

I do not wish to show other processes since I have not published it yet. That last matrix performs so much magic and it is on that note that I nicknamed the method," Magic method.

Magic Process :
This algorithm is a newly created algorithm which applies to both system of 2 or 3 linear equations. The algorithm involves series of steps to be observed, and it appears in matrix form. At the last stage( the last matrix) ,we then compute the determinant of 2 by 2 matrix contained in the 3 by 3 matrix ( assuming we are dealing with 3 linear equations) to have the value of the second variable, whereas the value of the first unknown is already in the 3 by 3 matrix. Then,the determinant of the whole matrix (3 by 3 in this case) yield us the value of the last or remaining unknown.

In the case of 2 linear equations, the determinant of the last matrix yields the value of the second variable whereas,one of the entry of the 2 by 2 matrix is the value of the first unknown.
Mr chinedu Makasi (b.s.c,economics) created this algorithm on the 27th day of November 2014.

See example in the mathematical capsule 1.1.

1.1

3X+2Y-Z=1
2X-2Y+4Z=-2
-X+0.5Y-Z=0

Now, going through my process, I have my final matrix below.


(0.666 0.333 -0.333)........R1
(1. 0.800. -1.400)........R2
(0. -2. 1. )........R3

This is the matrix that will yield all the values of the variables.
The second element of R3 is the value of Z. Thus Z=-2.

Now we take the determinant of the 2 by 2 matrix contained in the 3 by 3 matrix using the second and last elements of both R2 and R3. Thus we have,

Y =(0.(1) - (-2)(-1.4)=-2.

Then for x value,we compute the determinant of the whole matrix using sarrus rule or co- factor method which then gives us -1.
Then we multiply this determinant by a constant which is,+ or - 1. But we multiply by -1 in this case to have 1.
Thus, X=1.


You can check these answers using any other algorithm.

By Makasi Chinedu( b.s.c,economics)

I don't know if we are solving based on the topics listed or just any way we want. I thought that change of base was to be dealt dearly with b4 others.
Any way,let me solve this question that our colleague posted in my own way.

(3 ^-5n / 9^1- n) x 27^ n+1

Make the terms inside the parentheses to have the same base. It is impossible from the nominator but possible from the denominator, i.e, 9=3^2. We then replace 9 with 3^2 to have

(3^-5 / 3^2(1- n) ) x 27^n+1

Also,we shall replace 27 with 3^3. This is owing to the fact that,3^3=27. Thus we have

(3^-5 / 3^2(1- n)) x 3^3( n+1)

We then expand the exponents to have

(3^-5 / 3^2-2n) x3^3n+3

From the term inside the bracket, we perform division using law of exponent when quotient is involved. That,we subtract the power of the denominator from that of the numerator so that we have a single base. Thus we have

3^-5n-(2-2n) x 3^3n + 3

3^-5n-2+2n x 3^3n+ 3

Now we perform multiplication law of exponent. To do this,we add the powers of the two terms to have one base term. Thus we have

3^-5n-2n+3n+3-2

Notice that we have taken the like terms already. Now we factor out n from the power to have

3^n(-5+2+3)+3-2 =3^n(0)+1

Note that n x 0 = 0

And 0 + 1 = 1

Therefore, we have. 3^0+1

= 3^1 =3

The answer is 3.

Thanks

Fine solving though, but I advise every tutor here to ensure that every question posted must be explained well for easy understanding.

Why not chose me for either economics or maths and see my prowess

Eeehhmmm, so nice to hear her reasons,but na after 3 yrs first for prison. Lol stupid girl

Hi all,just new here. What is happening

As a new person here,some1 should assist me in the ways things are being done. Thanks

During my secondary school days,i used to pay little attention in mathematics. This was owing totally to the fact that, I hated it. I fear mathematics so much that I couldn't even look at it talk more of reading it.
This lukewarm attitude of mine when it comes to maths made me the worst student of mathematics.

But my belief towards mathematics later changed when I got admitted into th university of portharcourt. I was offered economics which actually was what I applied for without the knowledge that mathematics abound in it. I was so good in any theoretical subject except calculations. Then,when our professor of mathematical economics said that," we can only become good economists if we are at least, c students in maths". I was shocked by his statement. Then, I made a dogged decision that mathematics must be my food which I finally saw as my sweetest food because, I later became the best mathematics student in my class. In addition, lots of nick names were given to me. Among the nicknames are: Mathematical Makasi, Makasimatics, Mr Echelon Matrix, etc.

This is my story .

Why should they kill it. That is under development . Do we want the extinction of this specie?

Really nice. But I go de drink alcohol

How much do you love mathematics.

Mathematics is the only subject that I so much appreciate during my days in the school. While others( my colleagues) were afraid of it,i was so much in love with it. I have practiced mathematics so long that I was able to create different formulae to tackle different questions both in calculus and pre- calculus. For instance, in both monic and non-monic quadratic equation, known methods like: completing the square principle, method of substitution, etc are used,but I managed to create a very simple and clear method to get the two roots of X. The method is nicknamed
" DESA ODER". This method involves series of steps as D(derivative) would be performed first followed by,E(expansion),S(subtraction), and A(addition).
This, among others,is the benefits of being obsessed with maths.

If na me,i go first eat the girl raw. If she survives it,then I go now call police

This na lesson to couples

Sorry for the men. Nija day hard

Mob lynching and Nigeria

Well,the only case there was that the girl was under aged.
It was not a rape case at all. There was mutual agreement between their two.

Rotimi is just naive

@ pokemon43
You are a stupid man. You don't honor Mary you said. Then no one should honor your mother.

Don't call your self a Catholic cause you are not.

@ idiamin1.

Why would u say that based on purgatory. Now let me ask u question,
How would u judge a man who stole your car and a man who raped your mother,assuming you to be justice?

God is great!!!!!!!!
He is my greatest connection.

Sorry girl

Sorry girl

Na so brother. Most parents are villainous

To me,age is not really what that matters.

Rules well observed