Let A = (3,-8, -3), B = (6, -25,-3), and C = (3, -5, -4) Determine whether or not the three vectors listed above are linearly independent or linearly dependent. Select an answer: If they are linearly dependent, determine a non-trivial linear relation. Otherwise, if the vectors are linearly independent enter 0's for the coefficients, since that relationship always holds. 0 = C. A+ B+ 100
Let A = (3,-8, -3), B = (6, -25,-3), and C = (3, -5, -4) Determine whether or not the three vectors listed above are linearly independent or linearly dependent. Select an answer: If they are linearly dependent, determine a non-trivial linear relation. Otherwise, if the vectors are linearly independent enter 0's for the coefficients, since that relationship always holds. 0 = C. A+ B+ 100
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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Transcribed Image Text:Let A = (3,-8, -3), B = (6, -25,-3), and C = (3, -5, -4)
Determine whether or not the three vectors listed above are linearly independent or
linearly dependent.
Select an answer:
If they are linearly dependent, determine a non-trivial linear relation. Otherwise, if the
vectors are linearly independent enter 0's for the coefficients, since that relationship
always holds.
0 =
C.
A+
B+

Transcribed Image Text:The solution of the linear system
The solution of this system is
W
W
2w
3w
4w
||
"
+2x + 3y -4z = -5
-x +y -2z
= -7
-X
- 4x
x =
and z =
-2y
+z =
- 2y +3z =
7
3
, y =
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