- d.It is known that if is such that det A= ad– bc≠0, then. Note that
the determinant ofA= is zero, so the matrix does not have an inverse.
- a.It is known that if is such that det A= ad– bc≠0, then. Applying
this formula with A= yields the following:
- a.It is known that if is such that det A= ad– bc≠0, then. Applying
this formula with A= yields the following:
- c.It is known that if is such that det A= ad– bc≠0, then. Applying
this formula with A= yields the following:
- b.It is known that if is such that det A= ad– bc≠0, then. Applying
this formula with A= yields the following:
A^163
12
0
2 2
0
–
–
– –
1 21
31
– ==>>HH
2
12
0
> – 3 H
A detA
d
c
b
a
1
–
A a –^1 = > – H
c
b
=> dH
A 51 2
1
1
3
–
–
–
–
–
–
–
–
1 52
51
51
53
– ==>>HH
3
1
1
2
–
> – H
A detA
d
c
b
a
1
–
A a –^1 = > – H
c
b
=> dH
A 251 25
0
4
1
1
0
1 254
251
– ==>>HH
1
0
4
25
> – H
A detA
d
c
b
a
1
–
A a –^1 = > – H
c
b
=> dH
A 221 2
4
4
– – 3
1 – –^111
112
112
3
4
4
2
>– H
A detA
d
c
b
a
1
–
A a –^1 = > – H
c
b
=> dH
6
2
3
> 1 H
A detA
d
c
b
a
1
–
A a –^1 = > – H
c
b
=> dH
ANSWERS & EXPLANATIONS–