MatricesMedium
Question
Let matrix A = 
, where x, y, z ∈ N. If det.(Adj(AdjA)) = 28.34, then total number of such matrices A, is -
, where x, y, z ∈ N. If det.(Adj(AdjA)) = 28.34, then total number of such matrices A, is -Options
A.220
B.45
C.55
D.110
Solution
|A|4 = 124 ⇒ |A| = ± 12
⇒ x + y + z = 12 (∵ x, y, z ∈ N)
⇒ 11C2 = 55
⇒ x + y + z = 12 (∵ x, y, z ∈ N)
⇒ 11C2 = 55
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