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 → 0 1 E, E, E, A = -5 -4 1 0 0 1 0 -4 -3 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: 2 1 0-2 -1 0 -1 1 2 0 1 2 1 0 along the fourth column 3

A: Here we have to calculate the determinant value of the given matrix.

Q: 10 Find the determinants of A, B, C: 0 3 7 1 7 1 6 0 0 0 0 1 0 4 0 3 8 1 0 0 0 0 0 3 0 0 0 0 0 2 0 0…

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Q: 2. Use row/column operations and properties of determinants to show that (Do not expand using…

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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: 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: Find determinants of the following matrices (a) 30 4 23 2 05 -1 (b) 2-2 3 2 3 a 1 3 (c) a b 1 -32 4…

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Q: Find the determinant by using the definition (Big Formula) 1 0 1 0] 1 0 0 1 B : 1 1 1 0 0 1 1

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Q: Calculating Cross Products with Determinants Find u X v and v X u if u 2i +j + k and v = -4i + 3j +…

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Q: Calculate the value of m 3-5 257 > Calculale the valve of n

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Q: Represent each statement in the argument as a logical statement using the propositional symbols and…

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Q: If the largest of 89 consecutive integers is 327, what is the smallest?

A: It is given that largest to the 89 consecutive integers is 327. We need to find the smallest integer…

Q: Sp

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: 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: 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: 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: 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: Which of these determinants solves the value of y in the following linear system? x + 2y = 3 4x + 5y…

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Q: 13. Solve the following determinants by hand (show your work): a. b. C. 1 6 2 -5 14 a 0 دن 12 -1 3…

A: Given a) 1602-5-1432 b) abc0432-11 c) i^j^k^350-42-1

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: 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 1 -2 det(A) = det -2 = 4 det(B) = det -1 -1 =-1 0 2 0 -1 Using the properties of determinants…

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Q: Find the determinant of matrices A and B П 2 1] A=1 5 0 3 0 5) 1 0 0 2 41 0 5 1 2 4 B=1 5 1 4 8 0 0…

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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: 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: 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: e) Show that the determinant of the nxn matrix 320 132 DOO 00 . . 000 0 0 0 15 equals to 2+₁ n+1 132…

A: Given Matrix: 320..000132..000........................000..132000..013 and of order n×n.   To prove:…