T F 64. Let f: A → B and g: B→C. Iff and g are 1-1 so is gof.

Q: (3) Let X € D4 such that X ‡ R270- Find all Y € D4 such that XY2 = R90. Explain your reasoning.

A: Given:  X, and Y are the elements of the dihedral group D4 such that X≠R270 and XY2=R90. To Find :…

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A:

Q: Let u (1, 0 -2) and v3,2. 4). Compute 2u + v. O (4. 2. 2) O (5.2.0) O (6.5. 0)

A:

Q: 8. Evaluate 3t(t+2) – 3t² for t = 19.

A:

Q: C. (I +3A)−¹ = 2 1 0 -1

A:

Q: Determine whether (p→q)→(q→r) is equivalent to q→r. Justifyyour claim.

A: we have to check whether  (p→q)→(q→r) is equivalent to q→r

Q: If B = U U U a b - [26] с U c=0 a = b c = d Ob = c a=d find conditions on a, b, c, and d such that…

A:

Q: Fill in the blanks. Let R(X) = "x owns a red convertible", S(x) = "x has gotten at least one…

A: The Question is to answer all the rules of inference used in each step. Given :  C(x) = "x is in the…

Q: X1 Xi + 2x3 , X1, X2, x3 ER – 4.x2 T: R³ → R², T x2 X3 - x3 ||

A: So first we prove that the given transformation is linear

Q: Manuben

A: The objective of the question is to perform row operations on the given matrix A. The first…

Q: Let a,b E R with a # 0, b # 0. Prove that (ab)¯1 = a°1b´1. %3D

A:

Q: Let f: AB and 9: B→C be defined as follows: f(a) = 4a² +2 and g(b) = 26-7 Compute the following: (a)…

A: Let A=B=C=x|x is a real number Let f:A→B and g:B→C be defined as  fa=4a2+2andgb=2b-7 Hence…

Q: Find u x v, v x u, and v x v. u = (5, 6, -4) v= (-6, -9, -8) (a) ux v (b) v xu (c) v x v

A:

Q: Show that if AB={0}, then P(A)≤P(B).

A: Given that