Basis maths-linear algebra-Q8

+1 vote

A pivot position in a matrix A is a location in any row of A that corresponds to a leading 1 in the reduced echelon form of A.  A pivot column is a column of A that contains a pivot position Or equivalently, A pivot position in a matrix A is a location in any row of A that corresponds to a leading entry in a row (left most non-zero entry) in any echelon form of A.  A pivot column is a column of A that contains a pivot position.

Suppose the coefficient matrix of a linear system (L) of three equations in three unknowns(variables) has a pivot position in every column. 

Which of the following is True?

(A). System L is consistent and has unique solution 

(B). System L is consistent and has infinitely many solutions

(C). System L is inconsistent 

(D). System is consistent but  Information is not sufficient to say whether there is a unique solution or infinitely many solutions.

asked May 15 in Basic Maths by gbeditor (44,500 points)
reshown May 16 by gbeditor

1 Answer

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Best answer

So, option A is correct answer.

answered Jun 26 by deepak-gatebook (112,390 points)
Answer:
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