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 |](/uploads/image/z/12016281-57-1.jpg?t=%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%2C%E8%AF%81%E6%98%8E%E4%B8%80%E4%B8%80%E6%98%A0%E5%B0%84Let+T+be+the+linear+transformation+whose+standard+matrix+is+given.Decide+if+T+is+a+one-to-one+mapping+and+if+T+maps+R%5E3+onto+R%5E3.Justify+your+answer.T%3A%7C+1+1+1+%7C%7C+4+1+2+%7C%7C+1+3+1+%7C)
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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 |
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
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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