2. Compute e for the following: (a) B= (1 2). (b) B = 3= (1 ²). (c) For B as in (a) (resp. (b)), determine eB

Q: Prove that if n is a +ive integer,

A: Given that, M xddxnf(x);p = (-1)npnF(p) We can prove this by mathematical induction.

Q: In each part, use the given information to find A. (7A)-1 (b) (7A) -3 [] -2 = (d) (/+2A)-! = 2 4 5

A:

Q: * n(A) = 11- n(A J B) = 15. and n(B) = 13, what is n(ANB)? n(ANB)

A: Solution: From the given information,

Q: (d) 3! 2! and (3-2)!

A: Given that  D) 3!.2! E) (3.2)!

Q: (a) A B (b) (c) P(A)=0.82, P(AUB) = 0.91, P(B) = 0.64

A:

Q: What is the order of in GL2(R)?

A:

Q: If n(Ax B) = 620 and n(B) = 31, find n(A). n(A)= n(B)= @)(::;:233)5

A:

Q: 3. 6. 7 #3. Let A = 2 3 What is tr(A), the trace of A? 0. 4 (A)3 (B) 5 (C) 6 (D) 7 (E) 24

A: In linear algebra, the trace (often abbreviated to tr) of a square matrix is defined to be the sum…

Q: Verify that det(AB) = det(A) det(B) for the following:

A: Given: The given matrices are A=1-23-231010 and B=1023-25213. First, find the determinant of A and…

Q: Q1 If A 010 1 Par API AYA² KA ナ show That:

A: If , show that .

Q: Let P(E)=0.85, P(F) = 0.23, and P(EUF) = 0.94. Find (a) P(EIF) and (b) P(FIE). (a) P(EIF) = (Type an…

A:

Q: L2 (2² – 2æ) dæ =

A: We have to find the value of the definite integral of the given polynomial function.

Q: [ (ln(7x))²dæ

A:

Q: - Evaluate the followings: (i)-r' (4) (ii)-(2) (ii) (-3) Г (iv) Γ(0.5)

A:

Q: Compute the following values, showing your work: φ(20), φ(25), φ(54) and φ(8!)

A:

Q: (a) Find the left cosets of {e, (1, 2)} in S3. (b) Find the right cosets of {e, (1, 2)} in S3.

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Q: a) Let p=13. Compute L2(3) b) Show that L2(11) = 7.

A: Here concept of field is used.

Q: (9) Let P, Q, R be (a) (¬P VQ) (b) (P mathematical statements. Negate the following statements.…

A:

Q: 10 Let A = ,C = 6 1 and D ,B = -3 -7 Find X, if AB" + 14C¬1 – |D|X = 0 %3D

A:

Q: If P(E) = 0.60, P(E or F) = 0.75, and P(E and F) = 0.10, find P(F). P(F) = (Simplify your answer.)

A:

Q: (4₁1) 6-₁2) after reftextion X=3 more (21,1) (11) clear (32) here пен

A: Reflection is a transformation that has a mirror image about a line as a two-way mirror .