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 E3E₂E₁A= ⠀⠀⠀⠀⠀⠀ 008 0 0 1 [100] 0 1 0 E₁ What is the determinant of A? det (A) = [104] 0 0 1 E₂ E₁ -5 0 0 -4 3 0 -57 -6 7

Q: Let A 1 1 A = 1A -1 1 Then answer the following. (a) Determine a;ı · (a2 x a3), for i = 1, 2, 3. (b)…

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Q: 710 4107 10-1 0414 (d)

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Q: 1 -2 3 4 [7 9.

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Q: Use the cofactor expansion to compute the following determinant: 5 6 5 det -3 9 7 %3D 6 9-8

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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: Use the cofactor expansion to compute the following determinant: -10 3 -1 det 1 -3-2 = 0 -65 4

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

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Q: E = F = [2 13 101 1 0210 0 1 2 3 1 -2 0 0 315 3 -7 0 -4 2 010 021 1 001

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Q: Compute the determinant. -3 2 -2 2 0 -1 2 -2 7) 0. 0 -3 1 4 21 -3 1 05 -3 5 8) -4 3 3 3 -2 5 1

A: The determinant of a matrix can be calculated by expanding the matrix along a row or a column. The…

Q: Find |A-11. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding…

A: The answers are as…

Q: Sp

A: According to the given Gauss elimination…

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: 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: a a 3. Compute the determinant a a by using the row/column operations a a R, → R, + R, + R, C, →C,-G…

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Q: 1. Compute the determinant: 1 1 2 1 2-² 2 2 2 3 3 3 3 5 1 9-x²

A: Here we find the determinant using some properties.  The properties are- 1) if we subtract a…

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 the cofactor expansion to compute the following determinant: -4 8 -7 | det -4 2 6 = 0 0 10 –4

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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: 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: 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: 1 2 31 -1 1. -2 1 2 -1 -3 -2 -3 0- 8 9. 2 41 \-1 6 -1 3 3 4 0 0 1 -2 | 2.

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Q: Evaluate the determinant A by any method, |1 3 6 2 1 0 2 |0 A = |3 2 3 0 2 9 5 1 0 10 0 8 6 0 1 2

A: Consider , A = 1310206223302951010086012 We need to find determinant of A. For that we will use ,…

Q: Compute the following determinant. 4 -6 |-4 1|

A: Given

Q: 4. Please calculate the determinant of -t 1 0 0 0 0 -t 0 1 -t 0 0 0 0 0 ... ... : 0 0 0 -t 1 -do -a₁…

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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: -2 11 4 -2 1 2 3 2

A: The given determinant is .The objective is to solve the determinant along the first-row expansion.

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: [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: 2. Compute the determinant of the following matrix [1 0 0 31 0 2 1 0 0 1 2 0 3 0 0 1] A = 3. Compute…

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Q: Compute the value of the following nx n determinant: 1 1 1 1 1 0 1 1 0 : : 1 ... 1 1 1

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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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