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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
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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: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+
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 =
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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