Question

how can we find determinant(5)=?
explain its procedure

Answer 1

what is the matrix?

Answer 2

Det([5])=5

Answer 3

what is the method of calculating it

Answer 4

we have method of finding 2x2 and 3x3 matrices but how can we say that det([5])=5 tell me the logic

Answer 5

we would still like to retain some of the properties of determinates

Det(AB)=Det(A)Det(B) when A,B are square

and Det(identity)=1

so it is natural to define Det([a])=a

Answer 6

you mean there is no logic

Answer 7

for any square (nxn) matrix A

\[Det(c\cdot A)=c^nDet(A)\]

\[Det([a])=Det(a\cdot[1])=a^1Det([1])=a\cdot 1=a\]

Answer 8

oh yes this is a proper answer thanks a lot.