Q.1 (a) Evaluate the determinant without ex pansion by using minimum number of operations. a a? a3 1 at at a = 125, where a is fifth root of unity. a a²l

Q: 27 Given the linest system of eoations belows 3-2 :9 742-22 -5 2+2y-1 -2 Use Cramer's rule and…

A: We are authorized to solve only 1 question, please repost remaining questions Cramer's rule

Q: 1 3 - 1 E) Using properties of determinants, show that 2 3 8 - 3 = 0 21

A: To Prove:      13-128-3321-9=0

Q: -18 -11 -10 E adj A = 2 14 - 4 then absolute value of determinant 4 5 -8

A: In this question, the concept of the determinant is applied. Determinant Determinants are a type of…

Q: nd the determinate of 2 3 1 3 2 1 1 0

A: The matrix is given as, 231321101 To calculate the determinant of matrix is,…

Q: Suppose you estimate to be 0.6 -0.5 0.3 T= 0.3 -0.25 0.15 1.2 -1.0 0.6 a. Show that the determinant…

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Q: 1. Use Gauss Elimination to solve the determinants for the following: 2x, + x2 - x3 = 1 5x1 + 2x2 +…

A: 1.  The given equations are, Converting given equations into matrix form

Q: (a) 0 2 10 0 11 5 8 7 0 1 0 0 0 5 7 8 (b) 0 2 0 1 6 7 -2 0 0 0 5 7 -4 2 3 8 (c) -2 0 0 0 6 7 0 0 1 3…

A: Given matrices:-

Q: 1 3 Using properties of determinants, show that 2 -3 =0 8 3 21 139

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Q: 1 3 1 Using properties of determinants, show that 2 3 8 - 3 = 0 %3D 21 9

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Q: Solve for the determinant using Cofactor Expansion Method only. 1 3 5 1 4 3 7 A = 2 4 6 8 5 7 3 6 7…

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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: Q2) Compute the value of the determinant by using the Radial method: |2 1 0 D = 1 2 -1 |2 3 4

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Q: 2. 52 Calculate the determinant for 2 3

A: As we know that, If the given matrix is A=abcdefghi then the determinant of the matrix is:…

Q: Find the determinant of the t 5 2-9 17 0 0 8 0 0 0 5 5 0 0 0 -1

A: (i) Given,                          52-9700800055000-1

Q: 3. USE ROW -REDUCTION AND COFACTOR EXPANSION TO EVALUATE THE DETERMINANT: 4 2 = 141 4 -O U5 403

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Q: 11 A-/5 ー4 -2 3 B= -4-2 2. 2-3-1 1 Find the determinant of Ax AT

A: First we need to calculate AAT and then we need to find the determinant of the obtained result.

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: 3) For the matrix [2 1 -1 2 3 1 -1 3 a) Compute the determinant BY DEFINITION, I want to see you…

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Q: Find the determinant. W(x5, x²) = fot 2x = (x²)(5x4)-(2x)(x5) The Wronskian ---Select--- equal to 0…

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Q: what is the relationship between the det(CA) and det(A) if the size of A is nxn? list the properties…

A: Properties of Determinants:·  Let A be an n × n  matrix and c be a scalar then:·  Suppose that A, B,…

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

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Q: Q2) Compute the value of the determinant by the Radial method |2 1 D = 1 3 -2 3 1

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Q: Find the determinant of the following: [2 0 41 1 2 4 144 21 1. I. L N 2. 3. 6 2 61 -4 5 7 -3 SEN SE…

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Q: 3. (a) Find the determinant of the matrix A below. 1 0 -1 0 0 1 1 0 -1 A =

A: The determinant value of the matrix abcpqrmno is aqo-nr-bpo-mr+cpn-qm when expanded about the first…

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

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Q: -Q3/1 useing Lagrange Methodl determain Mexiuman area of rectangul leacted in Side tringle of base…

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z)…

Q: 1. Prove that the properties of determinants are true by solving the following: [3 1 -5 o -5 [-1 -4…

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Q: |1 3 Using properties of determinants, show that 2 3 21 8 -3 =0

A: Consider the determinant, 13-128-3321-9=0

Q: II. Find the determinant of the follov [а 1 1 а 1 1 1 a [1 1 1] 1 1 A = 1 1 1 a

A: To find the determinant of the given matrix A by row reduced method :-

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: [1 Let A be a real number and A = k [2 -1] Then the determinant of A is: -3 1 0 1

A: let A be a real number

Q: Use the determinant to find 4heValues (k for.. Ax X Such that 3 2 1 A= 7 c) S -3

A: To find the eigenvalues of the given matrices using determinant conidition (equation)

Q: Q.1 (a) Evaluate the determinant without ex pansion by using minimum number of operations. 1 a a a?…

A: To use simple determinant property to solve the given problem

Q: Find the value of he determinant OF A Using the following melh Chio's method 2 2. 4 A = 3. 2

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Q: 3. 4. Consider the matrix A = -1 2 1 3 1. Find the determinant det(A – Al). Your answer should be a…

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Q: 5. Which of the following is the correct values of the determinant of the Wronskian matrix, and the…

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Q: 3. Prove that |B| = -|A| and identify what property of determinants. -4 1 4 -1 Let A- and B =5 -1 2…

A: To be proved - |B|=-|A| To be mentioned - what property this behavior shows

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: Use the cofactor expansion to compute the following determinant: 10 -9 3 det -5 6 -7 = 0 -7 1 -9

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Q: Consider the following determinant. 34 1 -1 0 8 0 1 1 (a) Use technology to evaluate the…

A: To find the value of the determinant by using technology, use the Ti-83 Calculator as follows,Step…

Q: 2 -3 3 1 4. Compute the determinant of A via reduction to triangular form. -1 -3

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Q: 7. Use the Jacobian determinant to test the existence of functional dependence between the following…

A: Given functions are y1 =3x12 +x2 y2 =9x14 + 6x12 x2 +4 +x2 x2 +8 +12

Q: Use the cofactor expansion to compute the following determinant: 10 9 8 det 10 -8 -10 = 0 %3| -3 -8…

A: NOTE: Refresh your page if you can't see any equations. . find the determinant using the first row

Q: 4) The determinant (det A) = abc, in the cases when A is: a y |b a)A = , b) A = 0 c) A = 0 d) b& c а…

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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: 6.(S.15). Solve the following system by determinant methods (Cramer's Rule) 2x1 – x2 – x3 = 1, x1 +…

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Q: 3 Given the matrix A =|. l, find its determinant. 2 3 - The determinant of A is

A: Given:      A=03-2-3 The determinant of 2×2 matrix is abcd=ad-bc

Q: Pseudo-ku! Find the missing subscript/s in the determinant term, a

A: Given, a)   f) We have to find the missing subscripts.

Q: A = (x   1   1)         1   x  -1        -1   1  x Compute the determinant of A

A: Given that A = (x   1   1)         1   x  -1        -1   1  x) Compute the determinant of A