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Find formulas for X, Y, and Z in terms of A, B, and C. It may be necessary to make assumptions about the size of a matrix in order to produce a formula. [Hint: Compute the product on the left, and set it equal to the right side.] lzill:3l=l:l Find the formulas for X, Y, and Z. Note that I represents the identity matrix and 0 represents the zero matrix. IO IOO The inverse of AIO is PIO . Find P, Q and R. BDI QRI Solve for P, Q, and R. P Q R (Simplify your answers. Type expressions using A, B, and D as the variables.)Let V be the set of vectors shown below. a. If u and v are in V, is u + v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. O A. The vector u + v may or may not be in V depending on the values of x and y. O B. The vector u + v must be in V because the x-coordinate of u + v is the sum of two nonpositive numbers, which must also be nonpositive, and the y-coordinate of u + v is the sun negative numbers, which must also be negative. O C. The vector u + v must be in V because V is a subset of the vector space R2. O D. The vector u + v is never in V because the entries of the vectors in V are scalars and not sums of scalars. b. Find a specific vector u in V and a specific scalar c such that cu is not in V. Choose the correct answer below. O A. US C=4 O B. u= C = 4 O c. u= O D. U= -2 C= - 1x Let H = {|: ] : 8x2 + 2y2 5 1}, which represents the set of points on and inside an ellipse in the xyplane. Find two specic examplestwo vectors, and a vector and a scalarto show that Y H is not a subspace of R2. H is not a subspace of R2 because the two vectors D show that H 7 closed under Z (Use a comma to separate vectors as needed.) H is not a subspace of R2 because the scalar 3 and the vector :I show that H IE closed under Z