Questions
Let The number of singular matrices in is
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a
18
b
25
c
450
d
infinite
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Correct option is A
det 18ab25=2×32×52−ab=0 ⇔ ab= 2×32×52 ⇔ a∣2×32×52That is a is a divisor of 2×32×52Therefore, a is of the form 2a3b52 whereα∈{0,1},β,γ∈{0,1,2}.Thus number of elements in S is 2×3×3=18.Similar Questions
The number of divisors of 240 which are of the form , is
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