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Let v1 = (0, 3, -1) , v2 = (1, 2, 0) , and let W be the plane spanned by v1 and v2. Consider the function T : R 3 → R 3 where T(x) = projW x , that is, T(x) is the projection of x onto the plane W; you may assume that T is a linear transformation. i) Evaluate T(5, 0, 10). ii) Find a basis for W⊥ in R 3 . iii) Without calculation, write down the matrix of T with respect to the ordered basis { v1, v2, v3 }, where v3 is the basis element found in part (ii). By drawing a diagram, or otherwise, give reasons for your answer. iv) Hence or otherwise, find an expression for the matrix of T with respect to the standard basis in R 3 . You may leave your answer as a product of matrices without completing the calculation.
state the null and alternative hypotheses for each of the followingyou want to show an increase in buying and selling
A museum has decided to sell one of its paintings and to invest the proceeds. If the picture is sold between the years 2000 and 2020 and the money.
Suppose that the compact submanifold X in Y intersects another submanifold Z, but dim X + dim Z 0 there exists a deformation Xt = it(X) such that X1 does not intersect Z and |x - i1(x)|
In product summary why it is important to have the units listed? If you want to estimate average revenue for Apple products do you need to use the units? How
a researcher predicts that listening to music while solving math problems will make a particular brain area more
Find the scale used to create the model. The scale modcel of a 45-inch tall bookcase is 2.5 inches tall.
Is this evidence that the theory is wrong?
Two sizes of Jam 14 ounces for $1.29 or 32 ounces for $2.99. Which is the better buy? The price of bread increased $1.39 to $1.49. To the nearest tenth of a percent what is the increase?
The purpose of this assignment is to help students understand how manufacturing and service companies can maximize their competitive advantage.
What is the alternative hypothesis in our activity? What are the alternative hypotheses in general for tests of hypotheses? Does rejecting a nuli hypothesis mean that the nuil hypothesis has been proven to be false? Explain.
Estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
Draw the complete ER diagrams for the entities and their relationships for the Invoice Form below. Indicate weak entities and show cardinality. Again, be reasonable in the attribute listing you provide but be sure to show the identifier.
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