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The exercise is as follows:
a) Let E be a linear subspace of R^n. Show that E is a closed subspace of R^n.
b) Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
Find different arrangements of distinct objects.
Solve the quadratic equation
Solve the equation
Solve the algebra equation
During the play, each player, in turn, draws a question at random from a stack of questions. The player then answers the question based on the cards that he /she sees (not the player's cards, which the player cannot see).
a rectangular solid has a base with length 5 cm and width 2 cm. if the volume of the solid is 100 cm3 find the height
Find the LCM of the given denominators
FOIL is an acronym designed to help you multiply binomials, not monomials or trinomials. Do you think that you could create an acronym (it will have more than 4 letters) to help you multiply a binomial and a trinomial?
Explain under what circumstances each method would be preferred over any of the other methods. Give an example for each circumstance.
Create an equation of a nonlinear function and provide two inputs to be evaluated.
Find the union of two sets.
the quadratic equations
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