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 0EEA 0 1 0 E3E2E,A =0 -2 -4 0 0 1 0 1 0 0 6 -4 E E Es E4 What is the determinant of A? det(A) =

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A: We know that an m×n matrix has m rows and n columns and if m=n then, the matrix is said to be a…

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: 710 4107 10-1 0414 (d)

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Q: 2d 2e 21 Let a, b, c, d, e. f be real numbers, A = e fl, and B = d-3 If determinant of A is equal to…

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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: 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: Find the quotient of B/A. Use pivotal method in solving for ALL (3x3, 2x2, ...) determinants. 3 1 3…

A: given, A=3137077468328491, B=45675678678978910 B/A=BA-1A-1=1Aadj(A)let adj(A)= C for get the…

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: 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: a b c [#] e f Lg h i If det(A) = 3, compute the determinant of B. Let A = d B= -2 02 O-3 03 h i g 2a…

A: Given that, A=abcdefghi    and,  detA=3 B=ghi2a+d2b+e2c+fabc We have to find det(B) We have to use…

Q: A-1²3 5. Find the determinants of A= 1 1-6 B -1 4 4 Is det|A| = -det|B|? 5 -1

A: The matrices are A = 21-1-14451-1B = 2-11-1445-11 To determine: The value of determinants of A and…

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

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Q: Find the value of x From the Following re lations of determinants x 3-3 =D33=2 %3D 3 -8 -8 38

A: We have to solve 40xx3-33-8-8 = 3x2 -8x8x - 0838

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A: According to the given Gauss elimination…

Q: refer  to  image  below. Find  determinant  of  following  matrix.  Justify  your  answer  with…

A: Since all the entries of the given matrix above the main diagonal are zero, the given matrix is a…

Q: A = 0305 6 3 -1 0 -3 4 0 3 -2 1 3 -2 1 1. Find M21 and M33; 2. Find C12 and C43; 3. Find the…

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Q: a b c Given det d e f = 5, find the following determinants. h i a b det d. e f -3g -3h -3i a b det…

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

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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: If B = then the determinant of B~1 is_ - (use property) a. 2 d. b. 10 с. 0.5

A: A matrix is a quantity with rows and columns. An entry in a matrix is determined by its row number…

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: . Calculate the projection of å along b and projection of b along å when: d = 3î + j – k , 5 = -21 –…

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Q: Find the determinant of the following: 2 0 41 1. I. -2 3 4 -3 4 1 1 2 4 L4 4 2] 4. 5 -2 5 4 61 2. -1…

A: We have to find determinants of give matrix.

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: 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: 1. Find the determinant of the following: [2 0 1. 1 2 4 l4 4 2 0 41 -2 3 1 4. 4 5 -2 -3 4 5 2 61 2.…

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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: of the apples is equal to 3 of the oranges. If there are 12 mor 5 In a fruit stall, - - annles than…

A: Fraction:  A small part of something.  In other words, numerical value that is not a whole number A…

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: 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: -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: Consider the following Gauss elimination: 1 1 1 4 -5 8 1 A → 1 0 JA → 1 0 E A → -8 0 E2 E1 A → 1 0…

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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 3 1 1 1 1 3 1 Find the determinant 1 1 1 3 3 1 1 1

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Q: a 1 d] 1 d a det 6 1 e = -2, and det 2 e = -3, [c 1 f Lс 3 f then a 9 d det b 9 e and 9 f det ь 5 e…

A: The detailed solution is as follows below: