1.
Does the inverse of
exist? If it does not exist, explain why not.
A.
No; the matrix is not square.
B.
Yes
C.
No; the elements of the principal diagonal are not 1.
D.
No; the determinant equals 0.
Hint
2.
If
, find
N
-1
.
A.
B.
C.
D.
Hint
3.
Find the inverse of
A.
B.
C.
D.
Hint
4.
Determine whether the pair of matrices
are inverses.
A.
no, because
A
·
B
I
B.
yes, because
A
·
B
= I.
C.
yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix.
D.
no, because fractions cannot be a part of an inverse
Hint
5.
In order for a matrix to have an inverse, what must be true?
A.
ad
–
bc
= 0
B.
ad
–
bc
= 1
C.
ad
–
bc
0
D.
ad
–
bc
1
Hint