Consider the following Gauss elimination: What is the determinant of A? det (A) = [1 0 01 A → 0 1 0 A → 0 0 1 E₁A→ 0 -3 0 E₂E₁A → 0 1 0 E3E2E1A= ⠀⠀⠀⠀⠀⠀⠀⠀⠀ 0 0 1 [1 0 -87 00 1 E₁ 0 01 0 1 E3 [1 0 0 0 0 -9 -1 [:' 0 0 -8 -8 0 67 5 4

Q: Compute the determinants of the following elements of M2 x 2(C). 1- 4i 5 -- 2i 6 + 4i ) "C ) (a)…

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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: 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: 25. (i) Calculate the determinant of thenxn matrix 1 1 1 0 1 1 0 1 ... ... I 1 1 1 A = 1 1 ... 1 1 1…

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

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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: |2 2 x| 1. Find x, if 3 3 3= 24 4 x 4

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Q: Compute the determinants of det (A) = det.(B) = A = 5 5 5 5 2 2 5 -4 and B = 5 –4 5 0 0 0 0 -4 0 0…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 9. Let A = d. e f If det (A) = -7, compute the determinant of %3D dg B = d %3D O 1/7 O -42

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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: 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: Sp

A: The objective of this question is to calculate the determinant of a 3x3 Vandermonde matrix and find…

Q: [1 0 3 1 0 2 1 Compute the determinant of A, where A= 2 -2 1 4 | 2 0 1

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Q: cofactors c2, 4, C4,2·

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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…

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: 1. Consider M = 1 23 234 47 a Compute |M| according to the definition of determinant.

A: The given matrix is

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) = [10 0 A 0 1 0 A 0…

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

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: 2. If 24x = 16, then x = (A) I 2 (B) (C) 4 (D) 8 (E) 12

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Q: 3. Let D, E and F be 4×4 matrices such that det(D) = 2, det(E) = 3, and det(F) = 4. Calculate the…

A: according to bartleby guide line we do only first three parts of multiple questions (3)  given D,E…

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

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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: 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: 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: 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: 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: None

A: Step 1:Step 2:Step 3: