44. IfA=[a,) is a matrix of rank r then
1) r=min (m, n) 2)r<min{m, n
3)r<min (m, n) 4)r=max {m, n
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czccc
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Correct option is
C
r≤min(m,n)
A=[a
ij
]
m×n
is a matrix of rank r
if m<n
minor of the highest order is m, i.e r≤m
if m>n
minor of the highest order is n, i.e r≤n
∴r≤min(m,n)
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