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Problem 0.2. Explain the following assertion: The following set of n-vectors, a1,r a1, 1 a1,2 a2.r a2.1 a2.2 . . .. an ,r an, an,

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Problem 0.2. Explain the following assertion: The following set of n-vectors, a1,r a1, 1 a1,2 a2.r a2.1 a2.2 . . .. an ,r an, an, 2/ spans n-space if the following set of equations always has a solution for each choice of b1, b2, . .., bn: a1,121 + a1,2x2 + . . . + al,n = 61 a2,121 + a2,2x2 + . . . + a2,n = 62 . . ar, 121 + ar, 2x2 + . . . + arn = br

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