MATH 123: Exam 1 Review Questions - Integration, Decay, Exponential Growth, Sequences, Exams of Advanced Calculus

MATH 123: Exam 1 Review
Questions - Integration, Decay,
Exponential Growth, Sequences,
Exams of Advanced Calculus




Every system of 3 linear equations with 3 unknowns has at least one solution -
ANSWER>>FALSE

If a system of linear equations has infinitely many solutions, then it may be
inconsistent - ANSWER>>FALSE

A system of linear equations either has no solutions, one solution, or infinitely many
solutions - ANSWER>>TRUE

If defined, a column times a row is never a 1x1 matrix - ANSWER>>FALSE

The ij entry of the product AB is obtained by multiplying the i-th column of A by the
j-th row of B - ANSWER>>TRUE

If A and B are 2x2 matrices such that AB=0, then BA=0 - ANSWER>>FALSE

If the row-reduced form of a square matrix contains a row of zeros, then the matrix
is singular. - ANSWER>>TRUE

Every LP problem in two unknowns has optimal solutions. - ANSWER>>FALSE

In the simplex method, a basic solution assigns the value zero to all active variables -
ANSWER>>FALSE

In a feasible basic solution all the variables (with the possible exception of the
objective) are nonnegative. - ANSWER>>TRUE

No LP problem with an unbounded feasible region has a solution. - ANSWER>>FALSE