Question

Please help me with this ???
1. Write the system [ 6a +5b-5c=6 as a matrix equation
[-7a+7b+4c=6
[-7a-4b-9c=-1
then identify the coefficient matrix the variable matrix and the constant matrix.

A. [6 5 -5] [a] [6 ]
[-7 7 4][b] = [6 ]
[-7 -4 -9][c] [-1]
variable matrix [6 5 -5]
[-7 7 4]

Constant matrix [a]
[b]
[c]

Coefficient matrix [6 ]
[6 ]
[-1]

B. [6 -7 -7] [a] [6]
[5 7 -4] [b] = [6]
[ -7 -4 -9] [c] [-1]

coefficient matrix [ 6 5 -5]
[-7 7 4]
[-7 -4 -9]

Constant matrix [a]
[b]
[c]

variable matrix [6]
[6]
[-1]

C. [ 6 5 -5] [a] [6]
[-7 7 4] [b]= [6]
[-7 -4 -9] [c] [-1]

Coefficient matrix: [6 5 -5]
[-7 7 4]
[-7 -4 -9]

Variable matrix [a]
[b]
[c]

constant matrix: [6]
[6]
[-1]

D. [6 5 -5] [a] [6]
[-7 7 4] [b]= [6]
[-7 -4 -9] [c] [-1]

variable matrix: [6 5 -5]
[-7 7 4]
[-7 -4 -9]

coefficent matrix: [a]
[b]
[c]

constant matrix: [6]
[6]
[-1]

Answer 1

those were the answer choices lol

Answer 2

how did you get that???

Answer 3

its just a different example

Answer 4

wait a minute , *mistake*

Answer 5

oh okay i was really confused

Answer 6

\[x + 4y = 8\\
2x + y = 9\]
\[\left[ \begin{array}{cc}1&4\\
2&1\end{array}\right]\left[\begin{array}{c}x\\y
\end{array}\right] =\left[\begin{array}{c}8\\9
\end{array}\right]\]
________________________________________

\(\left[ \begin{array}{cc}1&4\\
2&1\end{array}\right]\) is the coefficient matrix

\(\left[\begin{array}{c}x\\y
\end{array}\right]\) is the variable matrix

\(\left[\begin{array}{c}8\\9
\end{array}\right]\) is the constant matrix

Answer 7

oh okay so basically the y and x = those numbers

Answer 8

yeah the 3x3 matrix of numbers are the coefficients of the variables \(a, b\) and \(c\)

Answer 9

oh okay i get it now thank you