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Algebra lineare Esempi
55
Passaggio 1
La matrice identità o matrice unità della dimensione 5 è la matrice quadrata 5×5 con gli uno sulla diagonale principale e gli zero altrove.
[1000001000001000001000001]
Passaggio 2
Multiply the scalar 5 by the identity matrix.
5[1000001000001000001000001]
Passaggio 3
Passaggio 3.1
Moltiplica 5 per ogni elemento della matrice.
[5⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2
Semplifica ogni elemento nella matrice.
Passaggio 3.2.1
Moltiplica 5 per 1.
[55⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.2
Moltiplica 5 per 0.
[505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.3
Moltiplica 5 per 0.
[5005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.4
Moltiplica 5 per 0.
[50005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.5
Moltiplica 5 per 0.
[500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.6
Moltiplica 5 per 0.
[5000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.7
Moltiplica 5 per 1.
[50000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.8
Moltiplica 5 per 0.
[500000505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.9
Moltiplica 5 per 0.
[5000005005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.10
Moltiplica 5 per 0.
[50000050005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.11
Moltiplica 5 per 0.
[500000500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.12
Moltiplica 5 per 0.
[5000005000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.13
Moltiplica 5 per 1.
[50000050000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.14
Moltiplica 5 per 0.
[500000500000505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.15
Moltiplica 5 per 0.
[5000005000005005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.16
Moltiplica 5 per 0.
[50000050000050005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.17
Moltiplica 5 per 0.
[500000500000500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.18
Moltiplica 5 per 0.
[5000005000005000005⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.19
Moltiplica 5 per 1.
[50000050000050000055⋅05⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.20
Moltiplica 5 per 0.
[500000500000500000505⋅05⋅05⋅05⋅05⋅1]
Passaggio 3.2.21
Moltiplica 5 per 0.
[5000005000005000005005⋅05⋅05⋅05⋅1]
Passaggio 3.2.22
Moltiplica 5 per 0.
[50000050000050000050005⋅05⋅05⋅1]
Passaggio 3.2.23
Moltiplica 5 per 0.
[500000500000500000500005⋅05⋅1]
Passaggio 3.2.24
Moltiplica 5 per 0.
[5000005000005000005000005⋅1]
Passaggio 3.2.25
Moltiplica 5 per 1.
[5000005000005000005000005]
[5000005000005000005000005]
[5000005000005000005000005]