Consider the following Gauss elimination: 0 07 0 E2E¡A → ГО 1 07 [1 -97 [1 0 07 Г4 -3 1 0 0 | A → 1 E1A → 1 0 2 E3E2E1A = -3 -1 1 1 0 2 1 -1 E2 E3 E4 What is the determinant of A? det(A) =

Q: |a1 a2 a3 -: Question 4. Given b₁ b2 b3 = -2. Evaluate the following |C₁ C2 C3 determinants (a) bil…

A: a1a2a3b1b2b3c1c2c3=-2

Q: Calculate the determinant of A det (A) = Number -5 3 -1 5 00-3 0 3 -5-2-4 -2 -1 4 5

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Q: 710 4107 10-1 0414 (d)

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Q: If A - a (ª () C is equal to? and det A - 0 (in din) 0 a 0 c+2a d + 2b 4, then what is the…

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

Q: Question 4 of 20: Select the best answer for the question. 4. Evaluate the following determinant: O…

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Q: /2 003 1Y 0-10 00 II-I0 (2 2 210,

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Q: (a) Find the following determinants. 1 2 -1 -2 787 296 3 -3 1.67291

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Q: Consider the following Gauss elimination 1 0 01 To 1 07 [1 0 3] 1 0 0] 3 2 -2 0 A -1 o 0 EA - 0o 1…

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Q: Compute the following determinants

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Q: 2 02 0 0 00 200 02 023 Find the determinant O 24 09 08 0 0 2

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Q: Use determinants to find x, y, and z in t

A: GIven,                 x+y+2z-6=03x+2y+4z-9=02x+3y-6z-3=0

Q: Which of the following is the determinant of the 2 x 2 matrixA= (A) ad-be (B) be- ad (C) (D) ad-bc

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Q: Evaluate the 4x4 determinant by using signed minor or cofactor method: 1 2 3 4 011 0 3 2 1 1 1 0 4 0

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Q: Question 3 of 20: Select the best answer for the question. 3. Evaluate the following determinant: O…

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Q: 19 Find the determinants of U and U-¹ and U2. [1 4 6 U = 0 2 5 0 0 3 and b - [8 d U =

A: To find the determinants of U, U-1 and U2. (i) U=146025003 (ii) U=ab0d

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 -2 3 1 5 -9 3 Calculate the determinant using expansion by the second row: -1 2 -6 -2 8 1 6

A: Let A=abc  def  ghi , then the determinant, |A|=aei-fh-bdi-fg+cdh-eg .

Q: 3 3 A = 4 5 A. What is the determinant of A? B. What is the inverse of A? C. Use A-1 to find the…

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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: E3.5. (15) Calculate the determinant 9₁1+3031 9₁2+3a32 2922 2921 2032 9₁₁ 912 11 2031 a12 13…

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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: Find the determinant 0 0 0] 3 00 2 3 0 -7 92 A = -2 -1 -6 DEN 5 det (A) (A) = of the matrix K

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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: Calculate the determinant of A= det (A) = Number -20 -4-4-2 4 -6 2 4

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Q: ercise 7.1.2 Find the following determinants. 1 2 3 (a) 4 5 6 7 8 9 (b) 102 25 3 -1 0 0

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Q: [1 0 5 [1 [1 Го 1 -7 7 0 E2E A → 0 E3 E2 EA = 0 1 0 |A → 1. 0 EA → |0 -4 1 -5 -7 4 1 7 E1 E2 E3 E4

A: Here, E4E3E2E1A=-7760-5-7007