Question

Please help me with some algebra 2 questions, Matrices

Answer 1

its a basic operation ... what about it is troubling you?

Answer 2

I just don't know how to solve it at all..

Answer 3

you can try augmenting, or just solving the system of equations that accompanies it

Answer 4

5x - 2y = 2
2x - 1y = -4

what are x and y?

Answer 5

to augment we would simply row reduce:

5 -2 | 2
2 -1 | -4


such that the left part becomes the identity matrix, the the right part is the solution

Answer 6

another method ... if the matrix on the left is invertible, determine its inverse

Ax = B
A'Ax = A'B

x = A'B

Answer 7

which method suits you best :)

trial and error work too

Answer 8

okay that was pretty simple, thank you. Can you help me out on a few more?

Answer 9

sure, as long as my memory doesnt fail me lol

Answer 10

Would I basically do the same thing for that one? answer would B right?

Answer 11

augments are best suited for larger matrix constructions .... but the simplest route is the trial and error since one option is spose to be right

Answer 12

\[\left[\begin{matrix}5 & -2 & 2\\ 2 & -1& -4\end{matrix}\right]\]
\[\left[\begin{matrix}5 & -2 &2\\ 0 & -1/5&-24/5\end{matrix}\right]\]
x=(10,24)
Use guassian elimination

Answer 13

rref{{-5, -1, 0,21},{3,-4,5,-8},{-3,0,-1,12}}

http://www.wolframalpha.com/input/?i=rref%7B%7B-5%2C+-1%2C+0%2C21%7D%2C%7B3%2C-4%2C5%2C-8%7D%2C%7B-3%2C0%2C-1%2C12%7D%7D

if we augment, b is not it

Answer 14

oh I see, D is the answer there

Answer 15

How would I solve this?

Answer 16

an adding matrix:
\[\binom{1}{4}+\binom{x}{y}=\binom{x+1}{y+4}\]

Answer 17

looks like the pictures show the movements ... which one is to the right 1 and up 4?

Answer 18

picture D. This one..

Answer 19

wait no, the first picture

Answer 20

yeah, the one with the tip at the origin is better :)

Answer 21

Any ideas? :)

Answer 22

@amistre64