a = 1 23 21 2 33 4 5 3 54 6 9 " B = 1 2 3 21 3 2 6 4 5 14 53 2 4 3 6 5

Q: Use Gauss-Jordan method to calculate the inverse of A A-l = |1 0 -1 A =| 0 1 1 1 1 1

A: By Gauss Jordan Elimination method the inverse of matrix is given as follows :

Q: Please do Exercise 14.3.17 part A,C,E and please show step by step and explain

A:

Q: QUESTION 12 Given a = (1 3 5 6 7)(2 3 5 6 7) in Sg. a) (3) Write a as a cycie or a product of…

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Q: Find the order of each element in Z12-

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Q: 1 2 Let A = 2 3 1 and C = 0 -2 1 1 | 1 B = -2 Find the trace 3 1 1 1 of (2AB + C)T.

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Q: Construct the multiplication table for Zs. Using this table, or otherwise, determine the following x…

A: Solution

Q: and [AB) 1 = 4-33 [1] B-1 ||

A: We will find the required.

Q: The permutations p= p and q in So have the two-line symbols 1 2 3 4 5 6 15 2 3 4 6 1 2 3 4 5 6 4 6 2…

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Q: 4. Convert (101001000)2 from binary to decimal notation and (1984)j10 from decimal to binary…

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Q: -2 1 -1 2. Let A -2 0 4 1 5050 96 5 4 -61-2 9 1 -9 Find the rank A and the dim Nul A.

A: (2).rank A=3 and dim Null(A)=2Explanation:

Q: (a) Let a and b be two elements of Sn with the same cycle structure. Explain how to produce an…

A: Good question. Have answered all the details in step 2.

Q: Let a, b E R with a, b 0. Find the inverse of α 2 +1 1 0 0 200 0 0 1 b + 1 1 1 2 0 0

A: We need to find the inverse of matrix    if a, b are non zero real numbers.

Q: Find the order of each element in U(15).

A:

Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

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Q: (12) (13) (14) (15), (123) (234) (345),

A: This is a multiple questions.

Q: SetS = round(10 ∗ rand(5));S = triu(S, 1) + eye(5)S = S' ∗ ST = inv(S) The exact inverse of S should…

A: These are basic MATLAB commands, this is done on the MATLAB window and results are shown below:

Q: 2 19) Find the value(s) of k such that A = [13] has an inverse. What is the inverse of A?

A: