Question

How do you solve a 4x4 Matrix?

Answer 1

You can in many ways

Answer 2

what is one way?

Answer 3

Inverse solving

Answer 4

could you explain?

Answer 5

Gaussian Elimination

Answer 6

4 x 4 ?
a b c d
e f g h
i j k l
m n o p
it it

(afkp) + (bglm) + (chin) + (ejod) - (dgjm) - (hkna) - (cfip) - (belo) ????

I hope I made the question clear enough to not take up too much of your time.
http://www.math.ubc.ca/~israel/applet/mcalc/matcalc.html (matrices calculator.)

Answer 7

thanx beehive

Answer 8

imranmeah91 could you explain the Gaussian Elimination

Answer 9

Hold on

Answer 10

k thanx

Answer 11

\[\begin{array}c
a&b&c&d\\
e&f&g&h\\
i&j&k&l\\
m&n&o&p\\
\end{array}\]

\[\begin{array}c
a&b&c&d\\
e&f&g&h\\
i&j&k&l\\
m&n&o&p\\
\end{array}\*] <- remove the * to format

Answer 12

amistre64: i didnt understand that

Answer 13

Hold on, I am trying to format

Answer 14

that is the code you type in to format a matrix so its readable

Answer 15

copy it into where?

Answer 16

we will just try to solve 2 by 2 matrix
2x+3y=2
-2x+x=6

Answer 17

but i want to know how to solve it by hand

Answer 18

i understand a 2x2 matrix imranmeah91 but i need a 4x4

Answer 19

\[\left( \begin{array}{cc} 2 & 3 \\ -2 & 1 \end{array} \right)|\left( \begin{array}{c} 2 \\ 6 \end{array} \right)\]

Answer 20

wait...not a system of equations by matrices... just a 4x4

Answer 21

Just 4 x 4 ? then what would you be finding?

Answer 22

the determinant

Answer 23

sry i should have said that earlier

Answer 24

no problem

Answer 25

got any input values in specific?

Answer 26

amistre64: not rele

Answer 27

\[\left( \begin{array}{cccc} 1 & 2 & 3 & 4 \\ 5 & 6 & 7 & 8 \\ 12 & 11 & 10 & 9 \\ 1 & 3 & 2 & 7 \end{array} \right)\]

Answer 28

that det() = 0 on my ti83

Answer 29

so how do you solve it?

Answer 30

Use coefficient rule
\[\left( \begin{array}{ccc} 6 & 7 & 8 \\ 11 & 10 & 9 \\ 3 & 2 & 7 \end{array} \right)-2\left( \begin{array}{ccc} 5 & 7 & 8 \\ 12 & 10 & 9 \\ 1 & 2 & 7 \end{array} \right)+3\left( \begin{array}{ccc} 5 & 6 & 8 \\ 12 & 11 & 9 \\ 1 & 3 & 7 \end{array} \right)-4\left( \begin{array}{ccc} 5 & 6 & 7 \\ 12 & 11 & 10 \\ 1 & 3 & 2 \end{array} \right)\]

Answer 31

Now break it apart once more

Answer 32

?

Answer 33

\[1\left(6\left( \begin{array}{cc} 10 & 9 \\ 2 & 7 \end{array} \right)-7\left( \begin{array}{cc} 11 & 9 \\ 3 & 7 \end{array} \right)+8\left( \begin{array}{cc} 11 & 10 \\ 3 & 2 \end{array} \right)\right)-2\left(5\left( \begin{array}{cc} 10 & 9 \\ 2 & 7 \end{array} \right)-7\left( \begin{array}{cc} 12 & 9 \\ 1 & 7 \end{array} \right)+8\left( \begin{array}{cc} 12 & 10 \\ 1 & 2 \end{array} \right)\right)+3\left(5\left( \begin{array}{cc} 11 & 9 \\ 3 & 7 \end{array} \right)-6\left( \begin{array}{cc} 12 & 9 \\ 1 & 7 \end{array} \right)+8\left( \begin{array}{cc} 12 & 11 \\ 1 & 3 \end{array} \right)\right)-4\left(5\left( \begin{array}{cc} 11 & 10 \\ 3 & 2 \end{array} \right)-6\left( \begin{array}{cc} 12 & 10 \\ 1 & 2 \end{array} \right)+7\left( \begin{array}{cc} 12 & 11 \\ 1 & 3 \end{array} \right)\right)\]

Answer 34

kk i get it thanx a lot imranmeah91

Answer 35

hey btw how do i give a medal?

Answer 36

click the good answer next to my name