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
  • Alan
    Lv 7
    5 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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