线性代数,证明一一映射Let T be the linear transformation whose standard matrix is given.Decide if T is a one-to-one mapping and if T maps R^3 onto R^3.Justify your answer.T:| 1 1 1 || 4 1 2 || 1 3 1 |

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线性代数,证明一一映射Let T be the linear transformation whose standard matrix is given.Decide if T is a one-to-one mapping and if T maps R^3 onto R^3.Justify your answer.T:| 1 1 1 || 4 1 2 || 1 3 1 |

线性代数,证明一一映射Let T be the linear transformation whose standard matrix is given.Decide if T is a one-to-one mapping and if T maps R^3 onto R^3.Justify your answer.T:| 1 1 1 || 4 1 2 || 1 3 1 |
线性代数,证明一一映射
Let T be the linear transformation whose standard matrix is given.Decide if T is a one-to-one mapping and if T maps R^3 onto R^3.Justify your answer.
T:
| 1 1 1 |
| 4 1 2 |
| 1 3 1 |

线性代数,证明一一映射Let T be the linear transformation whose standard matrix is given.Decide if T is a one-to-one mapping and if T maps R^3 onto R^3.Justify your answer.T:| 1 1 1 || 4 1 2 || 1 3 1 |
det(T)=1+12+2-1-6-4=4>0
so T is a one-to-one mapping,and map R^3 to R^3

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