с — 1 —с — 2 2с — 3 4—с -1 1- c Let A = Use a determinant to find all the values of c for - —с — 2 which A is not invertible. с-1 2

Q: Evaluate the determinant by general definition and by Laplace expansion: 10 1 -6 2 3 3 7. -2 6 8.

A: Given that A=101−6203390117−2688. We have to find the determinant. Expand the matrix corresponding…

Q: 32. If A = | is a matrix, the number ad = be is denoted det A and called the determinant of A. Prove…

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Q: 2.20 Evaluate the triple integral /2)+1 5) drdydz y/2 3. by using the transformation 2.x – y - U = V…

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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: Current Attempt in Progress 1 1 1 1 0 2 2 2 Let A = 0 0 4 4 0 0 0 5 Evaluate the determinant of the…

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Q: Q.No.6. a) Use Laplace Expansion to find the determinant of, 15 7 9 A = 2 5 6 9 0 12

A: Note:- According to our guidelines, we'll answer the first one as each sub-part is individual.…

Q: [1 1 5 2 1 21 (1) Let A = 0 2 B C =|1 3 l3 -1. I-2 3 -21 1. Calculate (if it possible): a) AXB. b)…

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Q: 1. Find the determinant of the following two matrices using cofactor expansion along a row or column…

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Q: 1. Compute the determinant using a cofactor expansion across the first row. 3 -1 2 5 -7 1 2-3 2 2.…

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Q: 6. Suppose A is a 3 x 3 matrix, and det(A) = 5. Find the determinant of the following matrix…

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Q: 3.12. Let A be m x n and B be n x m matrices. Prove that A ) = det(AB). det -В I Hint: While it is…

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Q: - 1 3 -1 3 det(A - AI) det 2 1. |1 - i -1 - A 3 2 0 1- a To find the determinant, expand along the…

A: Let's find.

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: Q1. Given that 1 2 1 1 -() () 3 4 M = 3 2 2 -1 -1 12 2 4 a) Compute the determinant of M. b) Find…

A: Given: The given equations are x+2y+3z=0, 3x+2y+z=t and  2x-y-z=3

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: 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: 2. Let -5] 0. -1 %3D -2 9. 0. 12 Then -51 [2 [2 . 9. -2 -1 -1 9. -2 -1 -1 9. 0. R1 R4 R4 =D3= 2 → R4…

A: Given: 4x4 matrix is given.

Q: Question 2 [2 Consider the matrix B= = (a (t -1 2 1 -1 2 1 -1 -2 0 Use the cofactor exapansion to…

A: We have to find the determinant.

Q: [1 1 1 1. Let A be the following matrix A = 1 2 t li 4 t2] - (a) Compute the determinant of A. (b)…

A: The given matrix is  A = 11112t14t2

Q: [1 4 21 (a) (i) Evaluate the determinant of a matrix A = 0 1 2 by cofactor expansion 1 2 3 along the…

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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: 13t Let N be the matrix defined by N = р 13д г х 13у 2 The determinant of N is: O -1310 O -134 O…

A: To find the determinant of the matrix.

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

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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: 2. For real numbers 11,...,n, consider |10 0 1 1 0 0 1 1 0 0 0 0 0 0 ... W.w. ... 0 0 0 0 0 0 1 1…

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Q: [1 1. Let A be the following matrix A = |1 li 1 1 4 t2] (a) Compute the determinant of A. (b) For…

A: First we will find the determinant of A by expanding along row 1. A matrix is invertible when its…

Q: -1 21 Let k be a real number and A =| 2 L-1 3 7 kl Then determinant of the matrix A is equal to O…

A: Find your answer below

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: 0 - [1 4 Find the determinant of A = = 1 2 03 -3 8 - using a cofactor expansion.

A: We have to find out determinants

Q: a) ВА b) Determinant of AT c) cofactors(B) Where [3 2 0 0 5 4 7 0 1 A =|1 3 1 0 0 10 3 85 Lo 1 0 1…

A: We have to find the value of (a) BA, (b) determinant of AT and (c) cofactors(B)

Q: = -2 and det(B) = 3. Use properties of 2. Let A and B by 3 x 3 matrices with det(A) determinants to…

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Q: Find the determinant and the eigenvalues of the linear operator T. T:R? - R2, where T(X1, x2) (5x1 -…

A: T:R2→R2, T(x1,x2)=5x1-26x2, -x1+7x2

Q: Find the determinant. -K² = (x²)(3x²) - (2x) (x³) w(x³, x²) = The Wronskian is not is not equal to 0…

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Q: The determinant of the following matrix is... sin 0 cos e - cos 0 sin 0 cos 0 sin@+cos 0 1, sin e

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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: Q1. Given that (1 2 3 4. M = 3 2 1 7 -8 a 12 2 -1 -1 b -5 4 a) Compute the determinant of M. b) Find…

A: (d) Here observe that r=(x,y,z)=t+1212, 7t-1212,  5t-1212 In order to find the partial derivative…

Q: Example C The following two functions are linearly independent: Yk (2) = e rọk, 0 = constant. (4.99)…

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Q: [-4 4 27 Let A 5 1 0 -2 3 1 Then the determinant of A is det(A) %3D Is matrix A invertible? ? > Next…

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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: Question 2. Consider the 2n x 2n block-diagonal matrix A, made up of n blocks (* :) of 2 x 2…

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Q: q-p t-s y- x Let L be the matrix defined by L = p- 4 t - | The determinant of L is: నా

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Q: The determinant of the matrix 4 log 2 sin(33) A = 2 3x2 – 3 102 x2 – 1. is equal to: Select one…

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Q: 1 1 1 1 0 1 1 11 10 1 1 10 1 1 1 110 1 Find determinant of the matrixA= 1 1

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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: 147 1. Given that det(C) = -11, where C 0 3 1 10 2 find the determinant of the given matrix. 1 4 7 1…

A: Given that det(C)=-11 where C=147031102 we have D=1109031164 The determinant of the matrix is given…

Q: 7. For XER³ find an x#0 of Equ A by 3 find an i+0 of Equ A by selecting a proper corresponding value…

A: For the detailed solution of the problem follow the next steps.

Q: 1. Use the Hurwitz determinants to find the stability of systems having the following characteristic…

A: NOTE: You have posted multiple questions, we have given the answer to the first question, if there…

Q: wny why Unx +Vny Unx+vny kny unx+ vny knx * K is constont + find determinont

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Q: 2 [4 6. Let V, = 1 V2=0 2 V3= 1 0. Using determinants in all of the following questions, verify that…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.