# System of equations problem?

t) Consider the following two systems.

(a)

{−3x+y=-1

{−4x-7y=3

(b)

{−3x+y=1

{-4x-7y=-2

What is the inverse of the (common) coefficient matrix of the two systems?

### 1 Answer

Relevance

- AlanLv 75 months ago
coefficients matrix is

[ -3 1

-4 -7 ]

inverse = 1/(ad-bc) * [ d ### -b

#################-c #### a ]

a = -3

b = 1

c= -4

d = -7

inverse = 1/ (-3*-7 - (-4*1) ) *

[ ### -7::::: -1

#### 4 ::::::::-3 ]

inverse =1/ (21+4)

[ (-7) (-1)

(4) (-3) ]

inverse =

[

(-7/25) (-1/25)

(4/25) (-3/25)

]

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