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For a real number α, if the system⎡⎢⎣1αα2α1αα2α1⎤⎥⎦⎡⎢⎣xyz⎤⎥⎦=⎡⎢⎣1−11⎤⎥⎦of linear equations, has infinitely many solutions, then 1+α+α2= |
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Answer» For a real number α, if the system ⎡⎢⎣1αα2α1αα2α1⎤⎥⎦⎡⎢⎣xyz⎤⎥⎦=⎡⎢⎣1−11⎤⎥⎦ of linear equations, has infinitely many solutions, then 1+α+α2= |
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