- b.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:
- b.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:
- 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:
- c.Compute the product on the left side to
write it as a single matrix, and then equate cor-
responding entries in the matrices on the left
and right sides of the equation to obtain the
desired system:
2
21
x
xy
x
xy
x
y
1
2
0
1
2
2
1
2
1
–
–
–
–
–
––
–
–
=
=
=
>>>=
>>
HH H
HH
*
x
y
0
2
1
1
4
–– 0
>>>HH H= –
y 4
20 xy
–
––
=
=
*
x
y
2
12
0
3
2
– 4
= –
>>>HH H
22 x
12 xy 3 4
–
–
=
* =
x
y
3
1
1
2
5
9
–
>>>––HH H=
35
29
yy
xy
–
––
+=
* =
ANSWERS & EXPLANATIONS–
