1 2 3 4 5 6 -2 1 3 5 4 and B [1 2 3 4 5 61 6 1 2 4 3 5] Let a = Compute each of the following: (a) a! (b) Ba ( c) αβ

Q: Compute t for L1 (L1 = A + B - GA - GB). A     GA     B     GB 9      6       8       5 10    6…

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Q: - Lett = [2 4 5 14 23 -4 9 3 6 15 0 – 1]. Which of the following expressions generates ans = 440 O…

A: We have to perform this in MATLAB. The INPUT CODE is given as  t=[2 4 5 14 23 -4 9 3 6 15 0…

Q: [1 2 -3] Find det A A= 4 5 -9 0 1 0]

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Q: 1 -1 0 1. Let A=(23¹), B(4). 3 -5 (a) Compute AB and BA. (b) Compute A + B and B + A. (c) If c = 3,…

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Q: D. Let a = (1 2 34 5 145 6 1 2 34 5 2 4 13 6 (1 2 3 4 5 6 52 4316 Compute the following: 1. BY (1 2…

A: Matrix multiplication Rules : The product of two matrices A and B is defined if the number of…

Q: 1-j 1 Evaluate a. b. 1+j 1+j

A: Given: 1-j1+j Now,  1-j1+j=1-j1+j×1-j1-j=1+j2-2j12-j2=1-1+2j1-(-1)=2j2=j Hence, 1-j1+j=j

Q: Let i = (– 4, 4, 5) and i = (6, – 3, – 2). %3D • Hint

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Q: Evaluate d.x. 4(1+4) Select one: O ti - in 1+ a|+C 4 3 in |1+ z*|+C Ori- In 1+|+C 4 tai + In |1 + x…

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Q: 4 1 0 Let X be N , ( μ. Σ ) with 1 30 0 0 2 Examine the independence of the following : (i) X, and…

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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: 2. Use a table to express the values of each of these Boolean function. F(x, y, z) = x+yz

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Q: Prove or disprove: If (n) and (yn) are subsequences of each other, then n = yn.

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Q: Let A=0 1 1 then adj(A)= 0 0 1 Select one: a. 1 1 1 0 1 1 O b. 1 0 0 -1 1 0 0 -1 1 1 -1 0 0 1-1 0 0…

A: To find: adjoint of the matrix

Q: -1 2 1 Let A Compute AAT and AT A. 1 0 1 1 -1

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Q: [1 0 Which of the following values of a will make 2 0 Lo 2 a non-invertible? -al 2.

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Q: 1.4 Find a basis B3 for im(A') and a basis Bą for null(A*). Note that in the same vein as 1.2 and…

A: Here you doesn't given what are the B1 and B2. Therefore I solve further. The required solution of…

Q: 2 3 2 3 2 3 Let G= S3 and H={(; 3 2 Then the number of disjoint cosets in G/H is H. 6 O 3 2 O

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Q: {1,3, 5, 7, 9, 11}. Use the Let X = {4, 5, 6, 7, 8, 9} and Y roster method to describe each of the…

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Q: -1 31 -1 1,D = 3] 1.0 -6 -1 3 Let A = 3 B = C = 3 1 -2 1

A: Topic:- subtraction of matrix

Q: -1 1 2 A 3 3 4 det A 0 0 -2 0 0 2 4 B = -5 6. 1 5 3 3 det B: -1 0 0 0 3 0 0 C = 2 0 0 4 0 0 0 0 -2…

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Q: 3. Prove that if a E Z then the only positive divisor of both a and a + 1 is 1.

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Q: 1 1 1 Let A=| 0 1 1 then adj(A)= 0 0 1 Select one: а. 100 1 1 0 1 1 1 O b. 1 -1 0

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Q: Find all values of t for which

A: We are given the determinant of the matrix as 0:   So,           Let's find the determinant of the…

Q: 1 2 3 ƒ = ( ²2 ²³ ²) and - Let f 1 4 3. functions on {1, 2, 3, 4). and g = 1 2 3 4 4 2. 1 3 a. Find…

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Q: Find gcd(2,3+5i) in Z[i]

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Q: [2 11 Q2) Assume A = |1 [3 4] 2 4 11 3 6 4 3 and B = show that (AB)' B' A'

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Q: [1 1 -1] 1 0 Lo Let A 0). Find A-1. (Show all work.) 1

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Q: 1 2 If A= , then show that |2A|=4|A|| 4 2

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Q: -3 and y = 2 0 Let x = ||x - y||₁ ||x - yl|oo = ||x - y||2₂ = 3. Compute

A: Given : x=-5-32    , y=330

Q: Use this set up to calculate the numbers for the formula. The Excel formulas are already set up to…

A: Given information: x y x^2 y^2 xy 70 36 4900 1296 2520 80 23 6400 529 1840 90 12 8100 144…

Q: 31 Let A =-1 4 and B = 3] 2 [3 -1 . Compute the (3, 1) entry of AB.

A: Given: A=23−1403  and  B=3−13124[AB](3,2)=?[AB](2,3)=?

Q: Verify that (AB) = BTAT. 6 1-1 Find (AB)T. 11 0 -20 X Find BTAT. 11 A = 0 1 30 0 -20 6 9 43 6 9 43 →…

A: A=61-1018306 and B=10-161-6018. To Do: Verify ABT=BTAT.

Q: 1 a) Let A =-1 [1 0 3 and C =2 1 l1 31 [1 2 1 1 B = 2 2 1 If possible, -2 1] li 3 -1] 1 compute (A"…

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Q: (iii) If gcd(a, b) = 1 and a | bc, then a | c.

A: In the given question, concept of Greatest Common divisor is applied. Greatest Common divisor The…