1.
Determine which matrix is the 3 × 3 identity matrix.
A.
B.
C.
D.
Hint
2.
Does the inverse of
exist? If it does not exist, explain why not.
A.
Yes
B.
No; the elements of the principal diagonal are not 1.
C.
No; the matrix is not square.
D.
No; the determinant equals 0.
Hint
3.
If
, find I so that
A.
B.
C.
D.
Hint
4.
Determine whether the pair of matrices
are inverses.
A.
yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix.
B.
no, because fractions cannot be a part of an inverse
C.
yes, because
A
·
B
= I.
D.
no, because
A
·
B
I
Hint
5.
Find the inverse of
if it exists.
A.
B.
does not exist, since
ad
–
bc
= 0
C.
D.
Hint