Question

Solve systems using matrices practice, please help, will post questions below

Answer 1

1. write a matrix to represent the system
2a-3b=6
a+b=2

Answer 2

I call these determinants. It's the same thing right?

Answer 3

no

Answer 4

Let's suppose we have 2 equations:
ax + by = e
cx + dy = f

the denominator determinant is
a b
c d
evaluated as
a*d - c*b

Answer 5

these are the options

A: 2 -3 6
1 1 2

B: 2 1 -3
1 6 2

C: a b 6
a b 2

D: 2a -3b 6
a b 2


all in brackets

Answer 6

yes that is the determinant, the question is just asking to express it in terms of matrices

or in the form of Ax=B
where \[A=\left[\begin{matrix}2 & -3 \\ 1 & 1\end{matrix}\right]\]\[x=\left(\begin{matrix}a \\ b\end{matrix}\right)\]
\[B=\left(\begin{matrix}6 \\ 2\end{matrix}\right)\]

Answer 7

2a-3b=6
a+b=2

2 -3 6
1 1 2
Looks like choice A to me.

Answer 8

a=2 b=-3 e=6
c=1 d=1 f=2

denominator =
a*d -c*b = 2 -1*-3
= 5

x =
6 -3
2 1
=6 --6 = 12
divide by denominator 5

x = 12/5
= 2.4