代数 示例

解题步骤 1
变换核是使变换等于零向量(变换厡像)的一个向量。
解题步骤 2
从向量方程创建一个方程组。
解题步骤 3
Write the system as a matrix.
解题步骤 4
求行简化阶梯形矩阵。
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解题步骤 4.1
Perform the row operation to make the entry at a .
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解题步骤 4.1.1
Perform the row operation to make the entry at a .
解题步骤 4.1.2
化简
解题步骤 4.2
Perform the row operation to make the entry at a .
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解题步骤 4.2.1
Perform the row operation to make the entry at a .
解题步骤 4.2.2
化简
解题步骤 4.3
Multiply each element of by to make the entry at a .
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解题步骤 4.3.1
Multiply each element of by to make the entry at a .
解题步骤 4.3.2
化简
解题步骤 4.4
Perform the row operation to make the entry at a .
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解题步骤 4.4.1
Perform the row operation to make the entry at a .
解题步骤 4.4.2
化简
解题步骤 4.5
Perform the row operation to make the entry at a .
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解题步骤 4.5.1
Perform the row operation to make the entry at a .
解题步骤 4.5.2
化简
解题步骤 5
Use the result matrix to declare the final solution to the system of equations.
解题步骤 6
Write a solution vector by solving in terms of the free variables in each row.
解题步骤 7
Write the solution as a linear combination of vectors.
解题步骤 8
Write as a solution set.
解题步骤 9
The solution is the set of vectors created from the free variables of the system.
解题步骤 10
的核心是子空间
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