Answered: Find the adjoint of the matrix, then…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

I.

1. Find the adjoint of the matrix,then use the adjoint to find the inverse if possible

2.Find the Equation of (-4,0) and (4,4)

3. Find the volume of the tetrahedron (2,0,0), (0,2,0), and (2,2,2).

II.

4. Determine whether the set of W is a subspace of R^3 with the standard operation. Justify your answer.

a.
b.

5. Determine whether the set S is linearly independent or linearly dependent.

a.
b.
c.

Find the adjoint of the matrix, then use the adjoint to find the inverse if possible.
[-1 3 21
A =
0 -2 1
1 0 -2
Find the equation of (-4, 0) and (4, 4).
Find the volume of the tetrahedron (2, 0, OL (0, 2, 0), (0, 0, 2), and (2, 2, 2).
þetermine whether the set W is a subspace of R with the standard operations. Justify your
answer.
a.W = {(x.x, 0); x &x, are real nos.}
b.W = {(x.xxx): x & x, are real nos.}
%3D
Determine whether the set S is linearly independent or linearly dependent.
a. S = {(1,1,1).(2,2,2), (3,3,3)}
b.S = {(-4,-3,4),(1-2,3). (6,0,0)}
c.S = {(-4,-3,6,2), (1,8,3,1). (3,-2,-1,0)}

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