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\f8. [-/1 Points] DETAILS HOLTLINALG2 5.3.020. Sketch the parallelogram with the given vertices. (Use only closed endpoints for your vertices. Do not fill the parallelogram.) (0, 0), (2, 9), (4, -7), (6, 2) Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. Fill -10 -9 -3 -7 -8 -5 -4 -3 -2 -1 23 45 6 7 8 9 10 No Solution Help WebAssign. Graphing Tool Determine its area using determinants.9. [-/1 Points] DETAILS HOLTLINALG2 5.3.022. Sketch the parallelogram with the given vertices. (Use only closed endpoints for your vertices. Do not fill the parallelogram.) (3, -2), (0, -3), (5, -7), (2, -8) Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. O Fill . C -10 -9 Solution Help WebAssign. Graphing Tool Determine its area using determinants. 10. [-/1 Points] DETAILS HOLTLINALG2 5.3.025. Find the area of T(D) for T(x) = Ax. D is the parallelogram with vertices (0, 0), (2, 4), (1, 5), (3, 9), and A = [4 5 ]. 11. [-/1 Points] DETAILS HOLTLINALG2 5.3.027. Find the area of T(D) for T(x) = Ax. D is the parallelogram with vertices (1, 2), (6, 5), (3, 6), (8, 9), and A = 2 3 ].12. [-/1 Points] DETAILS HOLTLINALG2 5.3.030. Find a linear transformation 7 that gives a one-to-one correspondence between the unit circle and the given ellipse. T ( x ) = 13. [-/1 Points] DETAILS HOLTLINALG2 5.3.031. Find a linear transformation 7 that gives a one-to-one correspondence between the unit circle and the given ellipse. (Enter sqrt(n) for v .) T (x) =13. [0/1 Points] DETAILS PREVIOUS ANSWERS HOLTLINALG2 7.2.501.WA.TUT. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let V = R2 * 2 be the vector space of all real 2 x 2 matrices. Determine if the following matrices are linearly independent; if linearly dependent, find a nontrivial linear combination of the form a , A, + a242 + 2343 + 24A that results in the zero matrix. (Give a1, a2, a3, and a4 as real numbers. If the matrices are linearly independent, enter INDEPENDENT.) =[0 8 . and A4 = [ 3 0] (a1, a21 23, 24) = (-1 Recall that a finite collection of matrices Aj, . .., An in R * 2 are linearly independent if and only if the only scalars a, . .., a, for which aj A, + . . . + a,An = 022 are a, = a2 = . . . = an = 0. How can a homogeneous linear system be made from this equation? How can an augmented matrix be used? Additional Materials Tutorial19. [0.3311 Points] DETAILS PREVIOUS ANSWERS HOLTLINALGZ 8.1.037. Show that the given basis for S is orthogonal. Semarang}; [:21 1 1 Let 51 = [1]and 52 = [1]Then 51-52 = E . so {51, 52} y an orthogonal basis for s. o 6 Write 5 as a linear combination of the basis vectors. [Give your answer in terms of 51 and 52'] 5: 20. [011 Points] DETAILS PREVIOUS ANSWERS HOLTLINALGZ 8.1.502.WA.TUT. Suppose x = (1, 1, 0, 8} is a vector in R4. Determine the norm of the vector. 8 X The norm ofa vector x E IR" is \"X\" : v'x - x. How many components are present in a vector in R4? What kind of value does the norm give? Additional Materials ' Tutorial