2000018906

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Project ID: 
2000018906
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Specify how the rank of the matrix \(A\) changes depending on the value of \(t\), where \[ A=\left (\array{ 3& -2& 1&-4\cr -6& 4& -2&8\cr 0& t& 0&t} \right ). \]
If \(t=0\), the rank is \(1\), otherwise the rank is \(2\).
If \(t=0\), the rank is \(1\), otherwise the rank is \(3\).
If \(t=0\), the rank is \(2\), otherwise the rank is \(1\).
If \(t=2\), the rank is \(3\), otherwise the rank is \(1\).