If A=(123) than Rank
of AAT is
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12th
Maths
Matrices
Multiplication of Matrices and their Properties
If A = [2 0 1], then rank o...
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EASY
If A=[2 0 1], then rank of AA
T
is
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ANSWER
Given A=[
2
0
1
]
1×3
A
T
=
⎣
⎢
⎢
⎡
2
0
1
⎦
⎥
⎥
⎤
3×1
AA
T
=[
2
0
1
]
1×3
⎣
⎢
⎢
⎡
2
0
1
⎦
⎥
⎥
⎤
3×1
=[4+0+1]
1×1
=[5]
1×1
det(AA
T
)=5
=0
∴ Rank AA
T
=1.
solution
Answered By
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