Download Suppose that A is a 4 × 6 matrix and that dim Nul A = 2

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[Participation points only] Suppose that A is a 4 × 6 matrix and that
dim Nul A = 2. Then Col A = R4 .
(a) True
(b) False
()
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Suppose that A is a 10 × 9 matrix and has 6 pivot columns. Then
(a) Col A = R6 .
(b) dim Col A = 6
(c) any basis of Col A consists of 6 vectors
(d) (a) and (b)
(e) (b) and (c)
()
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Let rank A = 5. Suppose that columns 1, 3, 4, 5 and 7 of A are linearly
independent, but that not all of them are pivot columns. These columns,
however, still form a basis for Col A.
(a) True
(b) False
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