13. Which of the following sets of vectors DOES NOT span R*? {{)() (} {()0 {O ()0} {()) (} (a) 3. (b) (c) (d) (e) None of the above - they all span R3 (3 1 1 2 0 0 -2 0 0 -1 1 14. Let A = The mumber of free variables in the linear system Ar = 0 is (a) 0 (b) 1 (c) 2 (d) 3 (e) None of the above {() (O} - md B - {() ()} « 15. Consider the two bases B = of R2. What is the transition matrix from B, to B2? (b) 6 ) (G ) (c) (d) (e) None of the above

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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13. Which of the following sets of vectors DOES NOT span R*?
{{)() (}
{()0
{O ()0}
{()) (}
(a)
3.
(b)
(c)
(d)
(e) None of the above - they all span R3
(3 1 1 2
0 0 -2
0 0 -1 1
14. Let A =
The mumber of free variables in the linear system Ar = 0 is
(a) 0
(b) 1
(c) 2
(d) 3
(e) None of the above
{() (O} -
md B - {() ()} «
15. Consider the two bases B =
of R2. What is the transition matrix from B,
to B2?
(b)
6 )
(G )
(c)
(d)
(e) None of the above
Transcribed Image Text:13. Which of the following sets of vectors DOES NOT span R*? {{)() (} {()0 {O ()0} {()) (} (a) 3. (b) (c) (d) (e) None of the above - they all span R3 (3 1 1 2 0 0 -2 0 0 -1 1 14. Let A = The mumber of free variables in the linear system Ar = 0 is (a) 0 (b) 1 (c) 2 (d) 3 (e) None of the above {() (O} - md B - {() ()} « 15. Consider the two bases B = of R2. What is the transition matrix from B, to B2? (b) 6 ) (G ) (c) (d) (e) None of the above
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