Echelon Form by Kamil Siddiqui.xlsx

	B	C	D	E	G	L	M	N	O	R
1	Excel sheet for Echelon/Reduced Echelon Form
2	Excel sheet for Echelon/Reduced Echelon Form
3	Assignment by Kamil Rasheed Siddiqui ME201024
4	Assignment by Kamil Rasheed Siddiqui ME201024
5						Row swapping for pivot element in Row 1:				How to use:
6	0	0	0	0		0	0	0	0
7	0	0	0	0	Original Matrix	0	0	0	0
8	0	0	0	0	Original Matrix	0	0	0	0
9	0	0	0	0		0	0	0	0
10
11	0	0	0	0		0	0	0	0
12	0	0	0	0	After interchanging rows	0	0	0	0	If you want to calculate a 3x3 echelon form, use the highlighted
13	0	0	0	0	for pivot element in Row 1	0	0	0	0	region to input the numbers and fill the rest with zeros.
14	0	0	0	0		0	0	0	0
15
16	0	0	0	0		0	0	0	0
17	0	0	0	0	Multiplying Row 1 by 1/0	0	0	0	0
18	0	0	0	0	Multiplying Row 1 by 1/0	0	0	0	0
19	0	0	0	0		0	0	0	0
20										If you want to calculate a 2x2 echelon form, use the highlighted
21	0	0	0	0						region to input the numbers and fill the rest with zeros.
22	0	0	0	0	R2 + (-B17) * R1	Row swapping for pivot element in Row 2:
23	0	0	0	0	R3 + (-B18) * R1	0	0	0	0	Using 4x4 and 1x1 should be self explanatory.
24	0	0	0	0	R4 + (-B19) * R1	0	0	0	0
25						0	0	0	0	Answers should also be read in exactly the same format of
26	0	0	0	0		0	0	0	0	corresponding types of matrix. Ignore the excess zeros placed
27	0	0	0	0	After interchanging rows					and note rest of the numbers
28	0	0	0	0	for pivot element in Row 2	0	0	0	0
29	0	0	0	0		0	0	0	0
30						0	0	0	0
31	0	0	0	0		0	0	0	0
32	0	0	0	0	Multiplying Row 2 by 1/0
33	0	0	0	0	Multiplying Row 2 by 1/0
34	0	0	0	0		Row swapping for pivot element in Row 3:
35						0	0	0	0
36	0	0	0	0		0	0	0	0
37	0	0	0	0		0	0	0	0
38	0	0	0	0	R3 + (-C33) * R2	0	0	0	0
39	0	0	0	0	R4 + (-C34) * R2
40
41	0	0	0	0
42	0	0	0	0	After interchanging rows
43	0	0	0	0	for pivot element in Row 3
44	0	0	0	0
45
46	0	0	0	0
47	0	0	0	0	Multiplying Row 3 by 1/0
48	0	0	0	0	Multiplying Row 3 by 1/0
49	0	0	0	0
50
51	0	0	0	0
52	0	0	0	0
53	0	0	0	0
54	0	0	0	0	R4 + (-D49) * R3
55
56	0	0	0	0
57	0	0	0	0	Multiplying Row 3 by 1/0
58	0	0	0	0	Multiplying Row 3 by 1/0
59	0	0	0	0
60
61	0	0	0	0
62	0	0	0	0	Echelon Form
63	0	0	0	0	Echelon Form
64	0	0	0	0
65
66	0	0	0	0	R1+(-E61)*R4
67	0	0	0	0	R2+(-E62)*R4
68	0	0	0	0	R3+(-E63)*R4
69	0	0	0	0
70
71	0	0	0	0	R1+(-D66)*R3
72	0	0	0	0	R2+(-D67)*R3
73	0	0	0	0
74	0	0	0	0
75
76	0	0	0	0	R1+(-C71)*R2
77	0	0	0	0
78	0	0	0	0
79	0	0	0	0
80
81	0	0	0	0
82	0	0	0	0	Reduced Echelon Form
83	0	0	0	0	Reduced Echelon Form
84	0	0	0	0
85
86
87
88
89
90
91
92
93
94
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96
97
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100