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

Q: Use the cofactor expansion to compute the following determinant: 1 0 -3 -4 -6 0 8 5 det -4 -1 4 3…

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Q: Evaluate the determinant of the given matrix by cofactor expansion. 11 det(A) = < A = x y z 469

A: Follow the procedure given below.

Q: 4 Calculate the following determinants by elementary actions: 1 2 3 4 5 la+c b 1 c 2 3 4 5 6 1 b…

A: This is a problem related to determinant.This is lengthy/complex problem so I am doing it in…

Q: Prove that the determinant of the matrix 1 1 -1 X2 A=1 n-1 X3 Х3 хз n-l 2 1 Хn Xn п II (x-x) is…

A: To prove the determinantal identity

Q: 2. Show that for any x, y e C" , det(1, +xy')=1+ y°x. Use this conclusion to compute the determinant…

A: To show: detIn+xy*=1+y*x for any x,y∈ℂn   To compute:…

Q: Consider the following Gauss elimination: 1 0 0 0 1 0 0 7 -3 [1 0] 0 -9 0 E,E,E, A = 0 1 1 -9 O JA →…

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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: 19. If f(s) is given by the following determinants, without the expansion of f(x) find f(x) dæ e-x 1…

A: here we did coloumn wise differentiations

Q: Compute the determinant det 2 n n+1 n

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Q: 2. For any real numbers x, y, z what is the value of the following determinants |0 0 0 y| 0 0 а) 0 0…

A: a) 000y0x0000z01000=0+0+0+-11+40x000z100=-0x000z100=-0-x0-0+0=0 This is the required answer.

Q: 9. Evaluate the following determinants by a) Laplace development, b) Sarrus' Rule, c) Dodgson's meth…

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Q: If X,Y, Z are 3 x 3 matrices, det(X) det(Z) = -15 then what is the determinant X²ytrz-!? 3, det(Y) =…

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Q: 2 In x 1 e* 2 2. 1 In 2x -1

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Q: Compute the determinants using cofactor expansion along any row or column that seems convenient

A: We have given the matrix;

Q: If given points A at (6, 3) and B at (1, 4 determinhe AB B 5y2 C 2 5 V26

A:

Q: 5. Given that, for some a, b, c, d, e, f, g, h, i E R, a b c d e f g h i = 8   evaluate the…

A: Given that   abcdefghi=0=8 Implies a(ei-fh)-b(di-fg)+c(dh-eg)=8…

Q: (b ) The coordinates of joint #1 and #2 are (1,1) cm and (5,2) cm, respectively. The radius…

A: Given: Joint #1 1,1 cm and joint #2 5,2 cm. Radius r=7-4πθ cm for 0≤θ≤π2. To find: Determinant of…

Q: Compute the determinant of the following elementary matrix 0 1 0 100 0 0 1

A: We use the expansion of the determinant along its rows to find the determinant of the given…

Q: 4.2 Compute the following determinant efficiently: 1 2 -1 0 2 07 2 1 1 1 -2 -1 2 0 0 1 1 122N1

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Q: ´ be the following matrix: [1 1 1 J =1 2 [1 4 x ] Find Compute the determinant of J in terms of x…

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Q: An application of Kirchhoff's Current Law to the circuit with nodal voltages in Figure 2 gives rise…

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Q: Compute the determinant of the following elementary matrix. 10 0 0 1 d 0 0 1 1 00 0 1 d (Simplify…

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Q: ах bx ах bx Vronskys determinatof functions , e, e хе хе

A: Vronsky's determinant: The Vronsky's determinant of a functions f1,f2,..., fn is given by,…

Q: 2. Compute the following determinants using the permutation symbol. Verify your answer. 3. 0. a. 1 4…

A: Given :-  The Determinant of a matrix : A  =  32014-2-143

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: 2. If the determinant of a 5×5 matrix A is det(A)=6, and the matrix C is obtained from A by swapping…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

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: Consider a non-singular 2 x 2 square matrix M. If trace (M) = 7 and trace(M²) = 10, then %3D %3D…

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Q: Let A = d. e f ? y 67 If det (A) = -7, compute the determinant of g h i B=d e b. 07 O-7 1/7 O-42

A: In matrix B, b23 position should be f in place of h. Otherwise it can't be compute.

Q: Consider the following Gauss elimination. F00 1 10 0 0 EEA 0 1 10 -5 8 4 1 A 0 -3 0A→ 0EA 0- 100 0 1…

A: Given that,10001000-6E3E2E1A=-84-10-76005 From this let's find A. Now the given can be written as,…

Q: [1 1 1] The qr-factorization of the 3 x 3 matrix B is QR where R = 0 2 2 0 0 3 absolute value of the…

A: If A∈Rm×n has linearly independent columns then it can be factor as A=QRwhere'Q is m×n…

Q: Suppose AB = AC, where B and C are nxp matrices and A is invertible. Show that B = C. Is this true,…

A: Given information: Consider AB=AC and B and C are n×p matrices and A is invertible.  Calculation:…

Q: Consider the following Gauss elimination: Го 1 1. 1 0 3 T2 -3 -9 0 EA → |0 9 0 E2EA→ 0 1 0 E3 E2E¡A…

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Q: 1 Find the determinant usnig pivotal denent methord. 1 0 3 2 3 6 1 4 4 1] 2 B = -1 1 5 0

A: finding determinant using pivotal method. as per guidelines we are supposed yo solve the maximum one…

Q: 1. (10 pts.) Compute the determinant of 2 0 0 0 -3 2 2 1 4 0 -3 -2 3 3 0 -1 0 0 6 0 -1 0

A: We will expand along that row in which there is only one non zero entry

Q: 2. For the matrix A given in #1, compute the determinant using LU factorization.

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Q: If the determinant of the first matrix below is as given, find the de abc det r st 4 xy z a+r b+s…

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Q: 8. Compute the following determinants: 0 0 0 2| 0 0 6 0 0 40 0 2 000 -3 0 0 0 0 0 6 0 0 0 |1 2 3 3…

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Q: B and v are both solutions to Ax 1 (a) det A = −1 (b) det A = 0 (c) det A = 1 (d) det A = 9 Problem…

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Q: 2. Get the determinant 1 0 -1 2 2 36 1 4 4 5 0 1 • B= 1 Expand at row 2 (Methorl 3)

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Q: What is the value of the bordered Hessian determinant of the generalized Cobb-Douglas production…

A: Given that q=K0.33L0.5 Subject to 2K+L=120 Let g = 2K+L-120 Z=K0.33L0.5+λ120-2K-L The bordered…

Q: 2. Verify that det(AB) = det(A)det(B) forthe following: -2 3 [1 0 2] a) A=-2 3 1 B= 3 -2 5| 1 2 1 3…

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Q: (b) Given that A and B are 3x3 matrices where det(A) = -3 and det(B) = 3. Compute the following…

A: solution:Given A and B are 3×3 matrices .Also, det(A)=-3 and det (B)=3.WE need to find detA2T.(2B)-1…

Q: 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…

A: To determine the determinant of matrix A.

Q: 4 0 4 1 3 Compute the following determinants via reduction to tri- angular form or by citing a…

A: Given: a) 3021b) 2143c) 400020003d) 413230132

Q: What is the value of the bordered Hessian determinant of the generalized Cobb-Douglas production…

A: Given Cobb Douglas production function is              q=k0.33L0.5  ⋯⋯⋯⋯⋯⋯ (1) subject to constraint…