Substitute b in (2) to (1

Q: In (Z24, €) find the orders of the elements 3, 4, 6, 7, and 18.

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: 10. Find a and ẞ such that c = αa + ẞb, where a = (-3,0,2), b = (0,-1,2), and c = (-6,5,-10).

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Q: If A A-1 = = 2 -6] 1-²-3 then

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Q: Compute 1 $ Jzmi\mu (22 +4)24z

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Q: List the elements of U(20)/U5(20).

A: To list all the elements of U(20)/U5(20).

Q: 3.) -бп — 20 %--2n + 4(1 — Зп)

A: solve the following

Q: Evaluate ſ(r -)dr.

A:

Q: EXERCISES 4.1 Which elements of (Z₁0, ). are contained in ?

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Q: 9. Determine the value(s) of k such that (2k, 3, k + 1) x (k-1, k, 1) = (1, -2,2).

A: (2k, 3,k+1)*(k-1, k, 1)=(1,-2,2)Find the value of k.

Q: 2. Find n and a if: Inx² + In2= In ax"+1

A: Given equation is lnx2+ln2=lnaxn+1. We have to find the value of n and a. Used formula: lnmn=nlnm…

Q: 2. (15) Find GCD(172, 16), GCD(994, 217) and GCD(5621, 825).

A: The objective is to find the GCD of the following numbers. a) Using Euclid's division lemma method,…

Q: expand 7q(q-2)

A: To expand: 7qq-2 We know that: a(b+c) = ab +ac

Q: Compute A B, where A AB= 0 -2 2 -2 0 2 -4 7 8 -5 -1 2 and B = 8 -2 1 -5 -1 3

A: This question can be solved using the concept of multiplication of matrices.

Q: - Let z = = [11, 12, 13]T 5x1 +4x2+3x3 = 9 211+12-4x3 = 8

A: Given: Let we have to solve the given system

Q: с. In(х + 2) +Inx —D In(x + 12)

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Q: . Let A = 1 03 2 3 4 1 02 Find A-¹ if possible. If A−¹ does not exist, explain why.

A: Given that a matrix A  and we find the inverse of this matix A or A-1.

Q: Suppose A = {2, 5, 7, 9, 13, 25, 26}. (a) Find n(A).

A: