10 - 5 Let A = 0 4 -6 and b= - 10 Denote the columns of A by a,, a2, a3, and let W = Span (a,, a2, az}. -2 8 4 - 32 a. Is b in (a,, a2, az}? How many vectors are in (a1, a2, a3}? b. Is b in W? How many vectors are in W? c. Show that a, is in W. [Hint: Row operations are unnecessary.]
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![1 0
- 5
Let A=
0 4 -6
Denote the columns of A by a,, a2, a3, and let W = Span (a,, a2, az}.
and b =
- 10
-2 8
4
- 32
a. Is b in fa1, a2, a3}? How many vectors are in (a1, a2, az}?
b. Is b in W? How many vectors are in W?
c. Show that a, is in W. [Hint: Row operations are unnecessary.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc357075-d330-4116-93bc-b2819b26405c%2F8520a6a2-072c-4ccd-93c4-b9946e7bfe55%2Fy3tu4vt_processed.png&w=3840&q=75)
Given :-
Let and .
Denote the columns of by . Let .
To Determine :-
(a) Is in . How many vectors are in .
(b) Is in . How many vectors are in .
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