Unformatted text preview: T__d. A consistent system of linear equations always has one or more solutions.
__F__e. The reduced echelon form of a matrix may not be unique.
__T__f. A general solution of a system is an explicit description of all solutions of the system.
__T__g. If the columns of an m n matrix A span
for each b in m m , then the equation Ax b is consistent . __T__h. If the equation Ax b is consistent, then b is in the set spanned by the columns of A.
__F__i. For an n n system of linear equations, the Gaussian Elimination Algorithm with Partial
Pivoting and Elimination Separated from Solving uses approximately n 2 floating point
multiplications and n 2 floating point additions/subtractions.
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