has rank two: the initial two columns are linearly impartial, so the rank is not less than 2, but since the 3rd is a linear mixture of the very first two (the initial column moreover the second), the three columns are linearly dependent And so the rank have to be lower than 3.
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The rank of A would be the smallest integer k this sort of that A might be factored to be a = C R displaystyle A=CR
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But recall the xi had been chosen to be a foundation on the row Room of A and so are African Grey Parrot linearly unbiased. This suggests that c1 = c2 = ⋯ = cr = 0. It follows that Ax1, Ax2, …, Axr are linearly impartial.
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