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Quandaries & Queries
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 Topic: column
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 Column vectors 2015-02-21 From jill:A has co- ordinates (7,-1) and B has co-ordinates (3,5).write these as column vectorsAnswered by Penny Nom. A column and a sloped ceiling 2011-06-10 From Tom:Hi! I am a woodworker who needs some help finding a formula. I have to make a cylinder shape column that butts up against a sloped ceiling using bending plywood. I need to figure out how to cut the shape on this flat piece of material. The diameter of the column is 54.375". The tallest point is 9 13/16" and the shortest point is 4 7/16". Any help would be greatly appreciated.Answered by Harley Weston. The column space of a matrix 2009-02-12 From John:Question from John, a student: A= 1 1 0 0 1 1 0 0 0 0 1 0 0 0 1 1 B= 1 5 6 1 5 6 0 7 2 0 0 9 Is the space spanned by the columns of A the same as the space spanned by the columns of B?Answered by Harley Weston. Two-column proof for a circle geometry problem 2007-08-24 From Kendra:i have to prove that tangents to a circle at the endpoints of a diatmeter are parallel by stating whats given, whats to prove and a plane, then write a two column proof i dont understand thisAnswered by Stephen La Rocque. Prove that a rhombus' diagonals are perpendicular 2005-10-02 From Tania:How do you prove that a rhombus' diagonals are perpendicular using the 2 column proof method?Answered by Walter Whiteley. Two matrix problems 2005-03-30 From Sue:Question 1 Suppose all matrices in the equation below are square and invertible. Solve for x . BA-1XB-1 + 2BA + In = 0 (the symbol "0" here denotes the matrix of all 0's in it) Also, A-1 or B-1 is indicating inverse and "In" = for example, A-1 times A I hope you understand the above. I have to show all the steps. Question 2 Suppose we consider the set of all 2x2 matrices along with the operations of matrix addition and multiplication. Do they form a field? Why or why not? I think the answer is no because under multiplication it is not commutative and not all square matrices are invertible. I not positive so I'd like some help.Answered by Penny Nom. A matrix construction problem 2005-03-14 From Marcelo:I want to know if is it possible to solve this problem: I have an empty NxM matrix and I know totals (sum) by rows and totals by column. Is there any algorithm to fill the matrix so that the summary of columns and rows gives the original values I have?Answered by Harley Weston.

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