Consider the following Gauss elimination: What is the determinant of A? et(A) = ΓΟ 1 07 A → 0 1 0 A 0 7 0E₁A → 1 0 0E₂E₁A → 01 0 E3E₂E₁A= ⠀⠀⠀⠀⠀ 0 0 1 [10 0 00-3 E₁ [100] 0 0 1 E₂ [1 0 -57 00 1 E [4 0 0 -7 5 0 -1 -9

Q: (c) (e) 0-3 2 3 along the second column -1 0 1+i 2 -2i 0 1-i 3 4i 0 along the third row (d) (f) (i 0…

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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: Compute the determinant using a cofactor expansion down the second column.

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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. Show how to use the properties of determinants to compute det A where 0 0 2 1 -3 -2 -5 A = 5 10…

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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: 0 0 1 If det(A) = -3 then what is the determinant of 0 1 A? 1 0 0 O 3 O -3 -2

A: Let A and B be two 3*3matrices whose determinant is non- zero then det(AB)=det(A)det(B) . Let us see…

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: [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: a Let A = d. e f Lg h If det (A) = -7, compute the determinant of 2a 26 2c B = -e-f f 3g 3h 3i O -42…

A: Given matrix A=abcdefghi and det(A)=-7

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: Find the determinant of the matrix 300 -3 0 -3 0 -1 0 0 0 3 0 0 1 000 3 2 013 0 0 M = [8 det (M)=…

A: The given matrix is; M=[3 0 0 -3 0      -3 0 -1 0 0       0 3 0 0 1       0 0 0 3 2       0 1 3 0…

Q: Find the determinant of the matrix M = 3 1 0 0 0 0 0 -2 1 0 0 -1 2 0 -1 -2

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Q: 4. Find the value of scalar a if a = det(F)+det(D) Hint: use properties of determinants F = 1 0 1 -3…

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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…

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A: According to the given Gauss elimination…

Q: 15. Compute the determinant by cofactor expansion. 30 4 (a) 23 2 05 2-2 3 (b) 3 2 -1 1 400 5 172-5…

A: Given

Q: (a) Evaluate the determinant of 1 1 1 A = 1 S 1 s? t2 (b) Find the values of s and t such that A is…

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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: Consider the following Gauss elimination: What is the determinant of A? det (A) = [10 0 A 0 1 0 A 0…

A: The determinant of a matrix A is the product of eigen values of A.

Q: Calculate the following determinants by cofactor expansion. At each step, choose a row or column…

A: 2. (a) given determinant is…

Q: 3. Let 1 2 0 2 0 0 1 0 0 1 0 1 A = (a) Compute AAT and ATA. (b) Compute the determinants of AAT and…

A: For matrix multiplication, the number of columns in the first matrix must be equal to the number of…

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: From the given determinant supply the needed minor of the element 5. 3 -2 1 A = -1 -4 -3 5 A. |-2 1…

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Q: Ța b. 3g 3h 3i Let A = d e f and B il 2d 2e 2f - 2f If determinant of A is equal to 1 then…

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Q: 1. Use a cofactor expansion to compute the following determinants. 2 -1 0-1 -1 2-1 3 (a) 2 0 0 4 3 2…

A: The determinants are given as  (a) 30423205-1 (b) 135211342 (c) 2-10-1-12-100-12-1-10-12 The aim is…

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: Consider the following Gauss elimination: Γ1 0 07 A 0 1 0A0 -30E₁A→ 0 1 0 E₂E₁A →→ ⠀⠀⠀⠀⠀⠀ 004 E…

A: We need to find det(A).

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: Exercise 7.1.2 Find the following determinants. 1 2 3 (a) 4 5 6 789 (b) 102 25 3 -1 0 0 3 4 (c) 0 -1…

A: (c)  Let

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: 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: Consider the following Gauss elimination What is the determinant of A? det (A)- - 0 A01 00 A 0 01…

A: Given: A→10-8010001A→100010006E1A→100001010E2E1A→1000-80001E3E2E1A=7-6-20-25003 To find the…

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: -1 -2 3 Compute the determinant A 1 - -1 -3 0 01 58 4 -1 2 8 5 3

A: We have to find the determinant of the matrix

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…

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A: Step 1:Step 2:Step 3: