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Test Index
AP EAPCET 07-Jul-2022 Shift 2 Paper
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Section:
Mathematics
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© examsnet.com
Question : 5 of 160
Marks:
+1
,
-0
The rank of the matrix
A
=
[
2
1
2
1
0
1
4
1
4
]
is
0
1
2
3
Validate
Solution:
👈: Video Solution
Convert matrix into row echelon form.
‌
[
2
1
2
1
0
1
4
1
4
]
R
1
→
R
1
−
R
2
→
[
1
1
1
1
0
1
4
1
4
]
‌
[
1
1
1
1
0
1
4
1
4
]
‌
R
2
−
R
1
→
R
3
→
R
3
−
4
R
1
[
1
1
1
0
−
1
0
0
−
3
0
]
‌
[
1
1
1
0
−
1
0
0
−
3
0
]
R
3
→
(
−
‌
1
3
)
R
3
R
2
→
(
−
1
)
R
2
→
[
1
1
1
0
1
0
0
3
0
]
‌
[
1
1
1
0
1
0
0
3
0
]
‌
→
R
3
→
R
3
−
R
2
[
1
1
1
0
1
0
0
0
0
]
Number of non-zero rows is 2 .
∴
Rank of matrix is 2 .
© examsnet.com
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