Problem 1PP: Let S be the parallelogram determined by the vectors b1 = [13] and b2 = [51], and let A = [1102].... Problem 1E: Use Cramers rule to compute the solutions of the systems in Exercises 16. 1. 5x1+7x2=32x1+4x2=1 Problem 2E: Use Cramers rule to compute the solutions of the systems in Exercises 1â€”6. 2. 4x1+x2=63x1+2x2=5 Problem 3E: Use Cramers rule to compute the solutions of the systems in Exercises 16. 3. 3x12x2=34x1+6x2=5 Problem 4E: Use Cramers rule to compute the solutions of the systems in Exercises 16. 4. 5x1+2x2=93x1x2=4 Problem 5E: Use Cramers rule to compute the solutions of the systems in Exercises 16. 5. x1+x2=33x1+2x3=0x22x3=2 Problem 6E: Use Cramers rule to compute the solutions of the systems in Exercises 1â€”6. 6.... Problem 7E: In Exercises 710, determine the values of the parameter s for which the system has a unique... Problem 8E: In Exercises 710, determine the values of the parameter s for which the system has a unique... Problem 9E: In Exercises 710, determine the values of the parameter s for which the system has a unique... Problem 10E: In Exercises 710, determine the values of the parameter s for which the system has a unique... Problem 11E: In Exercises 1116, compute the adjugate of the given matrix, and then use Theorem 8 to give the... Problem 12E: In Exercises 1116, compute the adjugate of the given matrix, and then use Theorem 8 to give the... Problem 13E: In Exercises 1116, compute the adjugate of the given matrix, and then use Theorem 8 to give the... Problem 14E Problem 15E: In Exercises 1116, compute the adjugate of the given matrix, and then use Theorem 8 to give the... Problem 16E: In Exercises 1116, compute the adjugate of the given matrix, and then use Theorem 8 to give the... Problem 17E: Show that if A is 2 2, then Theorem 8 gives the same formula for A1 as that given by Theorem 4 in... Problem 18E: Suppose that all the entries in A are integers and det A = 1. Explain why all the entries in A1 are... Problem 19E: In Exercises 1922, find the area of the parallelogram whose vertices are listed. 19. (0, 0), (5, 2),... Problem 20E: In Exercises 1922, find the area of the parallelogram whose vertices are listed. 20. (0, 0), (2, 4),... Problem 21E: In Exercises 1922, find the area of the parallelogram whose vertices are listed. 21. (2, 0), (0, 3),... Problem 22E: In Exercises 19-22, find the area of the parallelogram whose vertices are listed. 22. (0, 2), (5,... Problem 23E: Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0,... Problem 24E: Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 3,... Problem 25E: Use the concept of volume to explain why the determinant of a 3 3 matrix A is zero if and only if A... Problem 26E: Let T : m n be a linear transformation, and let p be a vector and S a set in m. Show that the image... Problem 27E: Let S be the parallelogram determined by the vectors b1=[23] andb2=[25], and let A=[6332] Compute... Problem 28E: Repeat Exercise 27 with b1=[47], b2=[01], and A=[5211]. Problem 29E: Find a formula for the area of the triangle whose vertices 0, v1, and v2 in 2. Problem 30E: Let R be the triangle with vertices at (x1, y1), (x2, y2), and (x3, y3). Show that... Problem 31E: Let T: 3 3 be the linear transformation determined by the matrix[a000b000c], where a, b, and c are... Problem 32E Problem 33E Problem 34E Problem 35E Problem 36E Problem 37E Problem 38E Problem 39E Problem 40E Problem 41E format_list_bulleted