High school maths lulz

k, my math teacher does not teach transposition properly, does anyone have a reference on How Ezacly to transpose a semi-complicated equation and what preferences to take when transposing etc

what

I think your English teacher might fall short of acceptible as well.

this is middle school stuff, gtfo

ax^2 + bx + c = 0

*transpose*

bx^2 + cx + a = 0

wtf

A = A^T

6, somehow I doubt that they are teaching linear algebra in high school now.

You can't "transpose" an equation, that makes no fucking sense.

curse you, highschool nub.

I know this is going to fuck up due to the weird formatting once I post it, but bear with me.


I think you have to have the equations arranged in a 'square' matrix before you can transpose them.

Ax^2 + Bx + C = 0
Dx^2 + Ex + F = 0
Gx^2 + Hx + I = 0

Can be written as the matrices

[A B C | 0]
[D E F | 0]
[G H I | 0]

~or~

[A B C][x^2] [0]
[D E F][x] = [0]
[G H I][1]   [0]

Which can be transposed using the rule (AB)^T = (B^T)(A^T)

                    [A D G]
[x^2 x 1][B E H] = [0 0 0]
                    [C F I]

which would be equal to what you originally started with.


I don't see why you'd want to transpose a single matrix, or transpose a system of equations unless you're trying to solve for something specifically.

>>1

Do you perhaps mean transpose like the music people use it? In math we call it translating. It's when you shift the graph of an equation to the left/right/up/down directions. You do this by replacing your 'x' and or 'y' values with stuff like 'x + n' 'x - n' for x and 'y + n' y - n' for y. Adding 'n' to your direction shifts by 'n' to the left/down (depending on weather you used x or y), conversely subtracting shifts by 'n' to the right/up. Think about it for a bit, it's really just common sense.

@ >>11, i mean like transposing an equation to make a different pro-numeral the subject...

e.g.      w = 2*square root of (pz/v)     Make V the subject

except the shit i have for homework is alot harder

>>12
So, solving for v, but using made-up terms?

>>13
ya, the OP's use of made up terms = wtf

>>12
Yeah, that's just called "solving for v".

>>15
its formally called transliterating the subfractive post-nominal.

Here's some basic examples for the OP, hope it helps:

Ex 1. x = 7 + y

To solve for y: subtract 7 from both sides of the equation:
(x) - 7 = (7 + y) - 7

This gives: x - 7 = y

Ex 2. x = 7 * y

To solve for y: divide both sides of equation by 7:
(x) / 7 = (7 * y) / 7

This gives: x / 7 = y

               ______
           _ 7/
Ex 3. x =   \/   y

To solve for y: raise both sides of equation to the 7th power:
           /     ____ \
          |  _ 7/      |
(x) ^ 7 =  \  \/  y   /  ^ 7

This gives: x ^ 7 = y

>>1
>>12
>>16

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