- 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:
- 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:
- 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:
- 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:
- 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–