Consider the matrix \(\left[\begin{array}{ccc}1 & 1 & 1 \\ 1 & 2 & t \\ 1 & 4 & t^2\end{array}\right]\). Which of the following is/are true?

1
A is invertible for all real values of t.
2
A is invertible for all positive t.
3
A is invertible for all negative integers t.
4
A is invertible for t = 1

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