4. Find the inverse of D, D¹¹, by three different methods: a. entering D in your TI-84 calculator and raising it to the negative one power (the "x¹" button works). b. reducing the matrix [D I] to reduced echelon form. c. using the formula D-¹ = 1 adj D. Show the steps of det D finding the adjugate and the determinant. Verify that the inverses you found are all identical. If they are not, go back and fix them. 5. Show that the inverse you found is correct by calculating DD¹¹ and D¹D. What result should you get? Did you get that? 6. Solve the equation Dx = f by three different methods: a. writing the augmented matrix and reducing it to echelon form. left-multiplying by D¹¹ on both b. sides.
4. Find the inverse of D, D¹¹, by three different methods: a. entering D in your TI-84 calculator and raising it to the negative one power (the "x¹" button works). b. reducing the matrix [D I] to reduced echelon form. c. using the formula D-¹ = 1 adj D. Show the steps of det D finding the adjugate and the determinant. Verify that the inverses you found are all identical. If they are not, go back and fix them. 5. Show that the inverse you found is correct by calculating DD¹¹ and D¹D. What result should you get? Did you get that? 6. Solve the equation Dx = f by three different methods: a. writing the augmented matrix and reducing it to echelon form. left-multiplying by D¹¹ on both b. sides.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
They are all linked. Could you please provide me with an answer for all three numbers?
![5
D = -8
3
0
1
-6
4. Find the inverse of D, D¹, by three
different methods:
a. entering D in your TI-84
calculator and raising it to the
negative one power (the "x¹"
button works).
b. reducing the matrix [D I] to
reduced echelon form.
c. using the formula D-¹
1
adj D. Show the steps of
det D
finding the adjugate and the
determinant.
Verify that the inverses you found are all
identical. If they are not, go back and fix
them.
5. Show that the inverse you found is
correct by calculating DD¹ and D¹¹D.
What result should you get? Did you get
that?
6. Solve the equation Dx = f by three
different methods:
a. writing the augmented matrix
and reducing it to echelon form.
left-multiplying by D¹¹ on both
b.
sides.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44c94bd2-8c1f-4d24-8d96-8ec15a0486f1%2F45570bc4-e305-44ce-8423-4897e888bb63%2Fmltllhl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5
D = -8
3
0
1
-6
4. Find the inverse of D, D¹, by three
different methods:
a. entering D in your TI-84
calculator and raising it to the
negative one power (the "x¹"
button works).
b. reducing the matrix [D I] to
reduced echelon form.
c. using the formula D-¹
1
adj D. Show the steps of
det D
finding the adjugate and the
determinant.
Verify that the inverses you found are all
identical. If they are not, go back and fix
them.
5. Show that the inverse you found is
correct by calculating DD¹ and D¹¹D.
What result should you get? Did you get
that?
6. Solve the equation Dx = f by three
different methods:
a. writing the augmented matrix
and reducing it to echelon form.
left-multiplying by D¹¹ on both
b.
sides.
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