where B A = = H (a) Find At -6 rref (A). -1 -2 TATT -1 7 -4 -18 10 9 NAAN -1 1 -3 2 17 (e) Find a basis for the Null(A¹). 6 -26 17 12 (b) Find a basis for the Null(A) = Null(B) (c) Find a basis for the row(A) = row(B) B = (d) Verify that each basis vector of Null(A) is orthogonal to every basis vector for row (A) (f) Find a basis for the row (A) = column(A) [102 1 0 3 0 1 4 -6 0 -1 000 0 1 2 000 0 0 0 (g) Verify that each basis vector of Null(A) is orthogonal to every basis vector for column (A)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 35E
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please naswer this and make sure the writing is understandable. 

A =
1
-6
4
where B =
(a) Find At
rref (A).
TATT
-1 -2 7 1 6
-26
17
12
2 -4 -18-3
4 10
9
-1
-1 2
(c) Find a basis for the row (A)
ال ده
=
(b) Find a basis for the Null(A) = Null(B)
1
(e) Find a basis for the Null(A¹).
SO
row (B)
2
(f) Find a basis for the row (A¹) column(A)
B
=
[102
0
0 1 4 -6 0 -1
000
1
0
0
- 900
000
(d) Verify that each basis vector of Null(A) is orthogonal to every basis vector for
row (A)
ONLE
(g) Verify that each basis vector of Null(A) is orthogonal to every basis vector for
column (A)
Transcribed Image Text:A = 1 -6 4 where B = (a) Find At rref (A). TATT -1 -2 7 1 6 -26 17 12 2 -4 -18-3 4 10 9 -1 -1 2 (c) Find a basis for the row (A) ال ده = (b) Find a basis for the Null(A) = Null(B) 1 (e) Find a basis for the Null(A¹). SO row (B) 2 (f) Find a basis for the row (A¹) column(A) B = [102 0 0 1 4 -6 0 -1 000 1 0 0 - 900 000 (d) Verify that each basis vector of Null(A) is orthogonal to every basis vector for row (A) ONLE (g) Verify that each basis vector of Null(A) is orthogonal to every basis vector for column (A)
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