A linear transformation of three-dimensional space is define

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A linear transformation of three-dimensional space is defined by r'=Mr,出自那本红色的futher pure mathematics.
接着题目where r'=x' r=x M= 2 1 -1
y' y -1 0 3
z' z 2 k 4
a)show that the transformation is singular if and only if k=2.上面那r' r M是matrix矩阵,急,

A linear transformation of three-dimensional space is defined by r'=Mr
就是说在三维空间中通过r'=Mr做线性京变换
show that the transformation is singular if and only if k=2
证明当且仅当k=2时这个变换是奇异的
也就是说M的秩为3也等价于M的行列式等于0
|m|的计算就不好写了,你自己算一下吧

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