Álgebra lineal Ejemplos

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Álgebra lineal
أوجد ناتج ضرب 5 بالمصفوفة المثالية 5x5 5
5
Paso 1
La matriz de identidades o matriz unidad de tamaño 5 es la matriz cuadrada 5×5 con unos en la diagonal principal y ceros en los otros lugares.
[1000001000001000001000001]
Paso 2
Multiply the scalar 5 by the identity matrix.
5[1000001000001000001000001]
Paso 3
Simplifica.
Toca para ver más pasos...
Paso 3.1
Multiplica 5 por cada elemento de la matriz.
[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]
Paso 3.2
Simplifica cada elemento de la matriz.
Toca para ver más pasos...
Paso 3.2.1
Multiplica 5 por 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]
Paso 3.2.2
Multiplica 5 por 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]
Paso 3.2.3
Multiplica 5 por 0.
[5005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.4
Multiplica 5 por 0.
[50005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.5
Multiplica 5 por 0.
[500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.6
Multiplica 5 por 0.
[5000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.7
Multiplica 5 por 1.
[50000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.8
Multiplica 5 por 0.
[500000505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.9
Multiplica 5 por 0.
[5000005005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.10
Multiplica 5 por 0.
[50000050005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.11
Multiplica 5 por 0.
[500000500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.12
Multiplica 5 por 0.
[5000005000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.13
Multiplica 5 por 1.
[50000050000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.14
Multiplica 5 por 0.
[500000500000505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.15
Multiplica 5 por 0.
[5000005000005005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.16
Multiplica 5 por 0.
[50000050000050005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.17
Multiplica 5 por 0.
[500000500000500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.18
Multiplica 5 por 0.
[5000005000005000005⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.19
Multiplica 5 por 1.
[50000050000050000055⋅05⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.20
Multiplica 5 por 0.
[500000500000500000505⋅05⋅05⋅05⋅05⋅1]
Paso 3.2.21
Multiplica 5 por 0.
[5000005000005000005005⋅05⋅05⋅05⋅1]
Paso 3.2.22
Multiplica 5 por 0.
[50000050000050000050005⋅05⋅05⋅1]
Paso 3.2.23
Multiplica 5 por 0.
[500000500000500000500005⋅05⋅1]
Paso 3.2.24
Multiplica 5 por 0.
[5000005000005000005000005⋅1]
Paso 3.2.25
Multiplica 5 por 1.
[5000005000005000005000005]
[5000005000005000005000005]
[5000005000005000005000005]
 [x2  12  √π  ∫xdx ]