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线性代数 示例
55
解题步骤 1
大小为 5 的单位矩阵,是主对角线为 1 而其余元素皆为 0 的 5×5 方阵。
[1000001000001000001000001]
解题步骤 2
Multiply the scalar 5 by the identity matrix.
5[1000001000001000001000001]
解题步骤 3
解题步骤 3.1
将 5 乘以矩阵中的每一个元素。
[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]
解题步骤 3.2
化简矩阵中的每一个元素。
解题步骤 3.2.1
将 5 乘以 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]
解题步骤 3.2.2
将 5 乘以 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]
解题步骤 3.2.3
将 5 乘以 0。
[5005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.4
将 5 乘以 0。
[50005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.5
将 5 乘以 0。
[500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.6
将 5 乘以 0。
[5000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.7
将 5 乘以 1。
[50000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.8
将 5 乘以 0。
[500000505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.9
将 5 乘以 0。
[5000005005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.10
将 5 乘以 0。
[50000050005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.11
将 5 乘以 0。
[500000500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.12
将 5 乘以 0。
[5000005000005⋅15⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.13
将 5 乘以 1。
[50000050000055⋅05⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.14
将 5 乘以 0。
[500000500000505⋅05⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.15
将 5 乘以 0。
[5000005000005005⋅05⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.16
将 5 乘以 0。
[50000050000050005⋅05⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.17
将 5 乘以 0。
[500000500000500005⋅05⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.18
将 5 乘以 0。
[5000005000005000005⋅15⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.19
将 5 乘以 1。
[50000050000050000055⋅05⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.20
将 5 乘以 0。
[500000500000500000505⋅05⋅05⋅05⋅05⋅1]
解题步骤 3.2.21
将 5 乘以 0。
[5000005000005000005005⋅05⋅05⋅05⋅1]
解题步骤 3.2.22
将 5 乘以 0。
[50000050000050000050005⋅05⋅05⋅1]
解题步骤 3.2.23
将 5 乘以 0。
[500000500000500000500005⋅05⋅1]
解题步骤 3.2.24
将 5 乘以 0。
[5000005000005000005000005⋅1]
解题步骤 3.2.25
将 5 乘以 1。
[5000005000005000005000005]
[5000005000005000005000005]
[5000005000005000005000005]