1001 Algebra Problems.PDF

(Marvins-Underground-K-12) #1

  1. c.Extract the coefficients from the variable


terms on the left sides of the equations to form
a 2 2 coefficient matrix. Multiplying this by




x
yand identifying the right side as a 2^1
constant matrix, we can rewrite the system

as the following matrix equation:


  1. c.First, extract the coefficients from the variable
    terms on the left sides of the equations to form
    a 2 2 coefficient matrix. Multiplying this
    by xyand identifying the right side as a 2 1
    constant matrix, we can rewrite the system


as the following matrix equation:


  1. d.Extract the coefficients from the variable


terms on the left sides of the equations to form
a 2 2 coefficient matrix. Multiplying this by




x
yand identifying the right side as a 2^1
constant matrix, we can rewrite the system

as the following matrix equation:


  1. c.First, we rewrite the system by moving all
    variable terms to the left sides of the equations
    and all constant terms to the right sides to
    obtain the following equivalent system:


Now, extract the coefficients from the variable
terms on the left sides of the equations to form
a 2 2 coefficient matrix. Multiplying this by




x
yand identifying the right side as a 2^1
constant matrix, we can rewrite this system as
the following matrix equation:


  1. a.First, we rewrite the system by moving all
    variable terms to the left sides of the equations
    and all constant terms to the right sides to
    obtain the following equivalent system:


Now, extract the coefficients from the variable
terms on the left sides of the equations to form
a 2 2 coefficient matrix. Multiplying this by




x
yand identifying the right side as a 2^1
constant matrix, we can rewrite this system as
the following matrix equation:
x
y

1


0


4


5


– –^2


51

>>>HH H=


xy
y

42


5 51


––=


=


Z


[


\


]]


]


x
y

3


4


4


2


1


3



>>>HH H= –


34 1xy
42 3xy



+=


* +=


x
y

6


2


3


1


8


>>>HH H= 3


63 8xy
23 xy

+=


+=


*


x
y

1


2


2


4


3


6



>>>––HH H=


xy 23
24 6x


––


+=


=


*


x
y

2


1


3


1


1


>>>HH H= – 2


23 1xy
xy– 2

+=


* +=


ANSWERS & EXPLANATIONS–
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