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Show that if R and S are commutative rings with 1, phi:R-->S is a homomorphism of R onto S, and I is an ideal of R, then phi[I]={phi(r): r included in I} is an ideal of S.
Suppose S is a linear space defined below. Are the following mappings L linear transformations from S into itself? If answer is yes, find the matrix representations of formations (in standard basis):
Using Excel to graph, prove whether the following equation could possibly be an identity or determine if it is definitely not an identity.
Why is it true that any two points satisfying a linear equation will give you the same graph for the line represented by the equation?
Sketch the Graph of y = cosx in the range -Pi
Escher style tessellation
You pay $6 to play a game where you will roll a die, with a payoff as follows: $8 for a 6, $7 for a 5, and $4 for any other result. What are your expected winnings? Is the game fair?
Use a Venn diagram and the given information to estimate the number of elements in the indicated region.
Determine the mean oil production with 95 percent confidence
Using trigonometry to solve a Right triangle - Find the width of the lake.
Trigonometric function to estimate the exact value.
What is the probability of drawing a red ball on the second draw if the first one is not put back in the box after it is drawn?
Calculate and interpret the coefficient of determination
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