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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
.. E₂E1
1. For each of the matrices A in Exercise 4.1.3, find a product of elementary matrices E=....
so that EA is the reduced echelon form of A. Use the matrix E you've found to give constraint
equations for Ax = b to be consistent.
Tea Gaussian elimination to find 4-1 (if it existel
0 in standard form.
1
0
3. For each of the following matrices A, determine its reduced echelon form and give the general
solution of Ax
(a) A =
-2
3 -1
3 -3
0
2
*(b) A =
-1
3
༑ - f
4
1
-2
6
(c) A =
-
2
2
3
-1
1
+
1
3
6
(d) A =
-2
2
-4
1
O
-1
0
1 2 0-1 -17
*(f) A=
-1
-3
1
2
1
-1
3
2
-3
7
3.
w
-1
0
(g) A =
I
1 0 2 1
0
T
1
2
4
2 2 0
1 -1
0
1 1
1
0
(h) A =
-1
2
4
3
5
9
-1
09
4
3
-2 0
1 -6
4 12 -1
-7
2
2
*(e)
=
1
3
2
4
1
2
2
3
Ax
h in standard form.
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