Lineare Algebra: Determinanten

n=2

A = Array[a, {2, 2}]

LinearSolve[A, {b[1], b[2]}]

Det[A]

Length[Det[A]]

n=3

A = Array[a, {3, 3}]

LinearSolve[A, {b[1], b[2], b[3]}]

Det[A]

Length[Det[A]]

n=4

A = Array[a, {4, 4}]

LinearSolve[A, {b[1], b[2], b[3], b[4]}]

Det[A]

Length[Det[A]]

n=5

A = Array[a, {5, 5}]

LinearSolve[A, {b[1], b[2], b[3], b[4], b[5]}]

Det[A]

Length[Det[A]]

Berechnung von Determinanten

A = {{0, 1, 2}, {3, 2, 1}, {1, 1, 0}}

Det[A]

A = {{0, 1, 1, 1, 1}, {1, 0, 1, 1, 1}, {1, 1, 0, 1, 1}, {1, 1, 1, 0, 
          1}, {1, 1, 1, 1, 0}}

Det[A]

Clear[A]
A[k_] := Table[If[i == j, 0, 1], {i, k}, {j, k}]

A[10]

Table[Det[A[k]], {k, 1, 10}]