Dimension of the subspace of r4
For which real numbers x do the vectors: (x, 1, 1, 1), (1, x, 1, 1), (1, 1, x, 1), (1, 1, 1, x)not form a basis of R4 ? For each of the values of x that you find, what is the dimension of the subspace of R4 that they span?
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To test this claim, we randomly ask 10 Viking fans whether they travel to Metrodome on the Hiawatha line. If 1 or more fans answered yes, we shall not reject the null hypothesis that p = 0.13; otherwise, we conclude that p < 0.13.
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