Mathematics, 03.10.2019 03:30 Jasten
linear algebra problem: determine if the given statements are true or false. justify your answers (i. e., give a proof for true and a counterexample for false).
(a) if a linear system has more equations than variables, then it must be inconsistent.
(b) if a linear system has free variables, then it must have infinitely many solutions.
(c) every linear system with the same number of equations and variables has a unique solution.
(d) in every linear system with 2 equations and 3 variables x1,x2,x3, the last variable x3 is a free variable.
(e) if x1 = x2 = ··· = xn = 0 is a solution to a linear system, then the system must be homogeneous.
Answers: 3
Mathematics, 21.06.2019 23:30
Simplify (8x2 − 1 + 2x3) − (7x3 − 3x2 + 1). −5x3 + 11x2 − 2 5x3 − 11x2 + 2 x3 + 2x2 + x3 x3 − 2x2 − x3
Answers: 1
Mathematics, 22.06.2019 01:30
Talia took the bus from her home to the bank and then walked back to her home along the same route. the bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. to determine the time, x, that it took talia to walk home, she used the equation 40(0.9 – x) = 5x. the time of trip 2 is hours. the distance of trip 1 is km.
Answers: 1
Mathematics, 22.06.2019 02:30
How many and of which kind of roots does the equation f(x)=x3−x2−x+1
Answers: 2
Mathematics, 22.06.2019 02:30
From a group of 10 men and 8 women, 5 people are to be selected for a committee so that at least 4 men are on the committee. howmany ways can it be done?
Answers: 2
linear algebra problem: determine if the given statements are true or false. justify your answers (...
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