Consider the following Gauss elimination: Γ1 0 07 A 0 1 0A0 -30E₁A→ 0 1 0 E₂E₁A →→ ⠀⠀⠀⠀⠀⠀ 004 E [105] 0 0 1 E₁ What is the determinant of A? det (A) = [1 0 01 0 0 1 E₂ [100] 0 0 1 E3E₂E₁A = 0 1 0 E [8 04

Q: 3. Find the determinant (-1) (1) (e) (-1) (2) (j + 1) (1) (2j) of the matrix below. (1) (ej²π) (-2)…

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Q: 1 1 -8 1 -4 -2 А — 1 JA → 5 0 E A → 1 0 EEA → 1 0 E3 E2EA =| 0 -9 -6 1 1 0 0 1 -4 5 E E2 E3 E4 What…

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Q: 4. Evaluate the following determinants and justify your answers. 1 a 1 a a² (b) (c) a² a 1 a a³ a² a…

A: Note: As per our policy, we are allowed to answer only first two parts of question kindly post…

Q: 3. Use the properties of determinants (not the co-factor expansion) to show that 1 x x² 1 y y²…

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Q: Consider the following Gauss elimination: 1 0 0 0 1 1 0 0 A → 0 0 A →→ 0 -9 E₁ What is the…

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Q: 1 0 0 8 0EA → | 0 1 0 1 0 [5 4 -8 EE A → |0 -9 [0 0 E E, E, A = |0 2 1 0 0 8 0 0 1 0 1 1 0 1 0 0 3 1…

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Q: 1. Solve for the determinant of matrix A in rectangular form 19769 2e0.5ni A = -(13 < 180°) (1+21)?

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Q: [x Find the values of x, 0 x+1 01 3 for which 4. lo 2 the determinant is zero. x1 a. x = 0, 2 and-3…

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Q: Let a be a real number. We denote by An the following determinant: n- 1 a. ... | An = CL 1 1 a ...…

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Q: Consider the following Gauss elimination: 1 0 0 0 1 0 0 7 -3 [1 0] 0 -9 0 E,E,E, A = 0 1 1 -9 O JA →…

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Q: Given det det det det a b c B de f ghi ghi a b c de f a g d 4d + a 4e + b 4f + c h g = b c = 4d + a…

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Q: b c is 3. C a Suppose that the determinant of a matrix A =d Lg e f h j. Evaluate the following:…

A: In this question we have to find the determinant of various matrices which we can find out by using…

Q: Q11: a b c Let de 9 ● a d f = 7, find the determinants hi b C e f 3g 3h 3i a+d be c+f d f 9 Compute…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: 18. Suppose that a C de f Find each of the following determinants. a Ь (a) d 3g 3h 3i О Ь (b) | d+3g…

A: Given  abcdefghi=7 a              abcdef3g3h3i=3abcdefghi                              =3×7…

Q: Let ● A = . 3 5 2 . 00 0 12 0 6 0 -1 L-6 3 1 0 a. Find the determinant of A using cofactor expansion…

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Q: a. det 1 b. det 1 r 1 1 I 1 1 1 C. det 1 1 1 1 1 1

A: Definition used -                           Determinant of matrix -…

Q: Consider the following Gauss elimination: What is the determinant of A? det (A) = [1 0 01 A → 0 1 0…

A: The determinant of the matrix is the multiplication of the diagonal entries of the matrix after…

Q: Evaluate the determinants of the given matrix below. (Non-anonymous question) sin t 1= - cost pt…

A: Determinant of matrix A=-etsin(t)   Determinant of matrix B=1+e-2t

Q: 1. If A = and B = [-5 10o -5). then A. B 3 2. The domain of the function y=: a. (-o,0) U (0,oo) 3.…

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Q: 4. [E2.2-Q20] Evaluate the determinant, given that a b с d f 9 i a 2d g+3a e h = -6. b 2e 2f h+3b h+…

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Q: 1 [1 0 1 6 9. -8 3 -7 0 JA → 1 0 E A → 1 E,E, A → 0 1 0 E3E,E, A =| 0 6 -3 1 0 9 0 1 0 0 1 0 8 E E,…

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Q: 15. d e f 9 h i a b C 'a b с de f =-6 g hi

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Q: Consider the following Gauss elimination: What is the determinant of A? det (A) = Γ1 0 77 A 0 1 0 A…

A: The elementary transformationsWhere

Q: 1 1 0 3 To 1 -3 -6 -3 0 1 0 0 7 0 E¡A →|0 1 0 EEjA → 1 0 0 E3 E2 E1A = 4 -2 -9 1 0 0 1 0 0 1 -5 E E2…

A: NOTE: Refresh your page if you can't see any equations. . find the determinant the matrix is in…

Q: 8. Let n > 2. Consider the n x n symmetric tridiagonal matrix over R c10 0 1 0 0 1 ... 1 ... с 1 An…

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Q: 1. 1 0 1 0 0 1 1 0 |A → 0 4 0 E A → 1 EE, A → 0 E3 E2 E A = 2 -1 1. 0 0 1. -1 1 E1 E2 E3 Е

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Q: Consider the following Gauss elimination: 每,. Го о 11 1 1 0 0 3 2 -3 0 1 olA + 1 0 |E A → | 0 9 0…

A: Given: A Gauss elimination To find: Determinant of A.

Q: Consider the following Gauss elimination: [1 0 0 [1 0 -57 0 1 0 A→ 0 1 0 0 0 8 0 0 1 E₁ A → What is…

A: It is given that E4E3E2E1A=-1240-48008. Here the matrices E4, E3, E2, and, E1 are:…

Q: а. 326 c. 489 |2 1 b. 389 d. 131 5 -1 1 -2 - 3 -4 -3 - 4 3. 3. 2. 9, N - -3

A: The given determinant is: 293115-131-22-33-4-3-4

Q: Consider the following Gauss elimination: [100] [1 0 07 A 0 0 1 A 0 1 0 E₁A → 0 1 0 E₂E₁A → 0-1 0…

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Q: [3 3 2 2 1. Compute the determinant of the matrix A = 4 1 2 10 (a) row 3. (b) column 4. (c) a…

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Q: [x +y y+z z+x] 5. If A = then compute the determinant of A. y 1 1 1

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Consider the following Gauss elimination: O 0 1 0 1 0 EA → 0 9 |1 0 0 6 1 -6 9 -2 1 0|A → 0 E,E A →…

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Q: a C Let A = If det A = 4, then the determinant of %3D b 4c – – 26 a A = q 4r – 2q| is 2z - Y |

A: Properties of determinant: abcdefkgkhki=kabcdefghiabc+pdef+qghi+r=abcdefghi+abpdeqghr In a…

Q: [3 14. If A = |4 -1 2 1 2 , find A-1 and hence solve the system of equations -3] 3 3x + 4y + 72 = 14…

A: 14. Given  The matrix  is A=3214-1273-3  and  System of equation is  3x+4y+7z=142x-y+3z=4x+2y-3z=0