4. Use the matrix A to answer the following questions. utot s (eto A = 51oy evenariW ovis on ab 11 4 -6 5 11 3 -7 -1 2 -3 4 4 a. Find a basis for the null space of A.E b. Find a basis for the column space of A 27Y c. Find a basis for the row space of A.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4. Use the matrix A to answer the following questions.
utot o
(etrio A = |-2
. 2
5 11 51y avenarw93604
3 -7 -1
4
-6
-3
4
4
1.
a. Find a basis for the null space of A.
d+D = 2
cay
b. Find a basis for the column space of A
23Y
C. Find a basis for the row space of A.
16/e bne noibbeiaiv 2edmun lean to Jaa s ed VsogE votov erit 1s
yd bantleb noitsollgulum
d. Rank(A) =
e. Nullity(A) =
f. Determine if the vector v = 2 is in the null space of A. Explain your reasoning.
-2
76274
Transcribed Image Text:4. Use the matrix A to answer the following questions. utot o (etrio A = |-2 . 2 5 11 51y avenarw93604 3 -7 -1 4 -6 -3 4 4 1. a. Find a basis for the null space of A. d+D = 2 cay b. Find a basis for the column space of A 23Y C. Find a basis for the row space of A. 16/e bne noibbeiaiv 2edmun lean to Jaa s ed VsogE votov erit 1s yd bantleb noitsollgulum d. Rank(A) = e. Nullity(A) = f. Determine if the vector v = 2 is in the null space of A. Explain your reasoning. -2 76274
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