Линейная алгебра Примеры

Популярные задачи
Линейная алгебра
Trovare il Risultato di 5 Per la 5x5 Matrice Identità 5
55
Этап 1
Единичная матрица размера 55 представляет собой квадратную матрицу 5×55×5 с единицами на главной диагонали и нулями на остальных местах.
[1000001000001000001000001]⎡⎢ ⎢ ⎢ ⎢ ⎢ ⎢⎣1000001000001000001000001⎤⎥ ⎥ ⎥ ⎥ ⎥ ⎥⎦
Этап 2
Multiply the scalar 55 by the identity matrix.
5[1000001000001000001000001]5⎡⎢ ⎢ ⎢ ⎢ ⎢ ⎢⎣1000001000001000001000001⎤⎥ ⎥ ⎥ ⎥ ⎥ ⎥⎦
Этап 3
Упростим.
Нажмите для увеличения количества этапов...
Этап 3.1
Умножим 55 на каждый элемент матрицы.
[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]⎡⎢ ⎢ ⎢ ⎢ ⎢ ⎢⎣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⎤⎥ ⎥ ⎥ ⎥ ⎥ ⎥⎦
Этап 3.2
Упростим каждый элемент матрицы.
Нажмите для увеличения количества этапов...
Этап 3.2.1
Умножим 55 на 11.
[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]⎡⎢ ⎢ ⎢ ⎢ ⎢ ⎢⎣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⎤⎥ ⎥ ⎥ ⎥ ⎥ ⎥⎦
Этап 3.2.2
Умножим 55 на 00.
[505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢ ⎢ ⎢ ⎢ ⎢ ⎢⎣505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥ ⎥ ⎥ ⎥ ⎥ ⎥⎦
Этап 3.2.3
Умножим 55 на 00.
[5005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢ ⎢ ⎢ ⎢ ⎢ ⎢⎣5005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥ ⎥ ⎥ ⎥ ⎥ ⎥⎦
Этап 3.2.4
Умножим 55 на 00.
[50005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢ ⎢ ⎢ ⎢ ⎢ ⎢⎣50005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥ ⎥ ⎥ ⎥ ⎥ ⎥⎦
Этап 3.2.5
Умножим 55 на 00.
[500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]⎡⎢ ⎢ ⎢ ⎢ ⎢ ⎢⎣500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1⎤⎥ ⎥ ⎥ ⎥ ⎥ ⎥⎦
Этап 3.2.6
Умножим 5 на 0.
[5000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.7
Умножим 5 на 1.
[50000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.8
Умножим 5 на 0.
[500000505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.9
Умножим 5 на 0.
[5000005005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.10
Умножим 5 на 0.
[50000050005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.11
Умножим 5 на 0.
[500000500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.12
Умножим 5 на 0.
[5000005000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.13
Умножим 5 на 1.
[50000050000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.14
Умножим 5 на 0.
[500000500000505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.15
Умножим 5 на 0.
[5000005000005005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.16
Умножим 5 на 0.
[50000050000050005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.17
Умножим 5 на 0.
[500000500000500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.18
Умножим 5 на 0.
[5000005000005000005⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.19
Умножим 5 на 1.
[50000050000050000055⋅05⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.20
Умножим 5 на 0.
[500000500000500000505⋅05⋅05⋅05⋅05⋅1]
Этап 3.2.21
Умножим 5 на 0.
[5000005000005000005005⋅05⋅05⋅05⋅1]
Этап 3.2.22
Умножим 5 на 0.
[50000050000050000050005⋅05⋅05⋅1]
Этап 3.2.23
Умножим 5 на 0.
[500000500000500000500005⋅05⋅1]
Этап 3.2.24
Умножим 5 на 0.
[5000005000005000005000005⋅1]
Этап 3.2.25
Умножим 5 на 1.
[5000005000005000005000005]
[5000005000005000005000005]
[5000005000005000005000005]
 [x2  12  √π  ∫xdx ]