Only 8 plz is In Exercises 7 through 11, determine whether the binary operacion * defined...
5. Determine whether the binary operation is commutative and whether it is associative. Justify your answers. (a) the operation on R defined by ab- a b+ab (b) the operation on Q-(0) defined by ab
1. Determine whether * is a binary operation on the given set. If it is a binary operation, decide whether it is associative and commutative. Justify your answers. a. Define * on Q+ by a *b = b. Define * on N by a*b = %.
I need to answer #3
could be done in only one way, we see that if we take the table for G and rename the identity e, the next element listed a, and the last element b, the resulting table for G must be the same as the one we had for G. As explained in Section 3, this renaming gives an isomorphism of the group G' with the group G. Definition 3.7 defined the notion of isomorphism and of...
In Exercises 5 through 8, decide whether the object described is indeed a set (well defined). Give an alternate description of each set. 5 {n є Z+ | n is a large number) 8 x EQI is almost an integer)
Question 1: (25marks) Determine whether each of the following represents a BIBO (Binary Input/Binary Output) stable system: H(z) (z-7)(z2+1/9), causal b. H(z) (z-7)(z2+1/9), anticausal H(z) z/[(z-0.7) (2+z+1)], mixed d. H(z)-(z+1)(2-1), causal a. C. For each case in which the system is determined the ROC.
Question 1: (25marks) Determine whether each of the following represents a BIBO (Binary Input/Binary Output) stable system: H(z) (z-7)(z2+1/9), causal b. H(z) (z-7)(z2+1/9), anticausal H(z) z/[(z-0.7) (2+z+1)], mixed d. H(z)-(z+1)(2-1), causal a. C. For each case...
7. Can the scalar product be negative? Explain. 8. Is vector subtraction commutative? Explain. 9. Does vector subtraction obey the associative law? Explain. 10. What relationship do use see between vectors and matrices? How are they different? How are they similar? Can you use their properties to construct a more general object and what would it look like? 11. A scalar triple product cannot be defined as follows: A X (B, C) Why is this quantity not defined?
solution to 1through 10
EXERCISES domain, explain In each of the following cases, a region D is defined. Tell whether the region is ad egion is a domain it is a domain, determine whether or not it is simply connected. If it is not a doeiomain.It why not. 1. The region of definition of a magnetic field due to a steady current flowing axis li.e, the region consisting of all points (x.y,z) such that x+y0 2. The region of definition...
question 9. find the eigen value and vector
Exercises 3.7 In Exercises 1-12, determine the e-values 4 e-vectors. [ 3-2 4] 5.4-[ -[] 7.1-3, . T 3 -1-1] [i 1-1] [1 1 -2] (9. A = -12 0 5 10. A = 10 2 -1 11. A= 0 2 -1 L 4-2-1) Lo o i Lo o 1 In Exercises 13-18, use condition (5) to determine whether the given matrix Q is orthogonal. 6 67
1, 5, 7, 9, 11
For each matrix A in Exercises 1 through 13, find vectors that span the kernel of A. Use paper and pencil. 1. A = 2 2. A = [1 2 3] 3. A = [08] 4. A=(: & 5. A= ſi 1 11 1 2 3 [1 3 5 6. A= [1 1 [1 2 1] 3 7. A= 8. A= ſi 231 1 3 2 13 2 si 17 1 2 1 1 [1...
Hw 1 (I) For each of the following determine it 3 binary operation on A. Give Reasons. 1 A = {1, 2, 3, 2, -45 a*b=161 2) A = { 1, 6, 3, 2, 18} a*b = ab too 3) A = Z-sold a*b=ab 4) A = Q a*b=2a.b