MA 114 hw 4.3.docx - Use row reduction to find the inverse...

Use row reduction to find the inverse of the given matrix if it exists, and check your answer
by multiplication. HINT [See Example 2.] (If the inverse doesn't exist, enter DNE in all answer
boxes.)
-1
0
0
-1
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My Notes
Question Part
Points
Submissions Used
Use technology to find the inverse of the given matrix (when it exists). Round all entries in
your answer to two decimal places. (Caution: Because of rounding errors, technology
sometimes produces an "inverse" of a singular matrix. These often can be recognized by
their huge entries. If the inverse doesn't exist, enter DNE in all answer blanks.)
−2.5 2.4 2.7
0.2 0.9 0.9
2.0 −0.1 −0.3

3. 1/1 points | Previous AnswersWaneFM6 4.3.043.
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My Notes
Use matrix inversion to solve the given system of linear equations. (You previously solved
this system using row reduction in Chapter 2.)
x + y = 2
x − y = 1
( x , y ) =
$$
32
,
12
4. 1/1 points | Previous AnswersWaneFM6 4.3.047.
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My Notes
Use matrix inversion to solve the given system of linear equations. (You previously solved
this system using row reduction in Chapter 2.)
−
x
+
2
y
− z = 0
−
x
− y + 2 z = 0
2 x − z = 6
( x , y , z ) =
$$6,6,6
5. 1/1 points | Previous AnswersWaneFM6 4.3.049.