Evaluate the following determinant:
Applying, R1 → R1 – 3R2 and R3 → R3 + 5R2 we get,
So, Δ = 0
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6. Determinants
1
1
1
1
1
1
1
2
3
4
5
6
7
8
9
10
10
10
10
10
10
11
12
12
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
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38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
52
52
52
52
52
52
52
52
53
54
1
1
1
1
2
2
2
2
3
4
5
6
7
8
9
10
11
12
12
13
13
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
1
2
3
4
5
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
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20
21
22
23
24
25
26
27
28
29
30
31
32
33
1
2
3
4
5
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9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
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