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