Problem 1E: In Exercises 1-6, use elementary column operations to create zeroes in the last two entries in the... Problem 2E Problem 3E: In Exercises 1-6, use elementary column operations to create zeroes in the last two entries in the... Problem 4E Problem 5E: In Exercises 1-6, use elementary column operations to create zeroes in the last two entries in the... Problem 6E Problem 7E: Suppose that A=[A1,A2,A3,A4] is a (44) matrix, where det(A)=3. In Exercises 7-12, find det(B).... Problem 8E Problem 9E: Suppose that A=[A1,A2,A3,A4] is a (44) matrix, where det(A)=3. In Exercise 7-12, find det(B).... Problem 10E Problem 11E: Suppose that A=[A1,A2,A3,A4] is a (44) matrix, where det(A)=3. In Exercises 712, find det(B).... Problem 12E Problem 13E: In Exercises 1315, use only column interchanges to produce a triangular matrix and then give the... Problem 14E Problem 15E Problem 16E Problem 17E: In Exercises 1618, use elementary column operations to create zeros in the (1,2), (1,3), (1,4),... Problem 18E Problem 19E: Use elementary row operations on the determinant in Exercise 16 to create zeros in the (2,1), (3,1),... Problem 20E: Repeat Exercise 19, using the determinant in Exercise 17. Use elementary row operations on the... Problem 21E: Repeat Exercise 19, using the determinant in Exercise 18. 19. Use elementary row operations on the... Problem 22E: Find a (22) matrix A and a (22) matrix B, where det(A+B) is not equal to det(A)+det(B). Find a... Problem 23E: For any real number a, a0, show that |a+1a+4a+7a+2a+5a+8a+3a+6a+9|=0, |a4a7a2a5a8a3a6a9a|=0, and... Problem 24E: Let A=[A1,A2,A3] be a (33) matrix and set B=[200310134]. a Show that AB=[2A1+3A2+A3,A2+3A3,4A3]. b... Problem 25E Problem 26E Problem 27E Problem 28E Problem 29E Problem 30E Problem 31E Problem 32E format_list_bulleted