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 1 0 0 ol x x2 b) |1 х х2 |1 x x2

Q: Evaluate the following determinants and justify your answer 1 2 1 a a² a³ sin a cos a sin(a + 0) 2 2…

A: Let's find determinant of given 4×4 matrix.

Q: Suppose a change of coordinates T: R → R* from the uv-plane to the sy-plane is given by * = -3v – 4u…

A: Given the eqn. x=-3v - 4u +2,  y = 2 - 5u -4v (a) ∂(x,y)∂(u,v)=∂x∂u∂x∂v∂y∂u∂y∂v=4354=12-20=-8=8 (b)…

Q: 1. Use la derivación implícita para determinar 02/ax y 02/av: az/əx" ze 1. x² + 2y? + 3z² = 1 2. x²…

A: Given; 1. x2+2y2+3z2=1 2. x2+y3+z2=3xyz 3. ez= xyz Repost 4,5,6

Q: Using the property of determinants, prove that |1 bc a(b+c)| 1 1 ab c(a+ b)| 2) ca b(c +a)| = 0

A:

Q: Q9:- If x = f(u, v) and y = g(u, v), where u = p(r, s) and v = a(x.y) a(rs) v(r,s). Prove that…

A: Given that x=fu,v and y=gu,v where u=ϕr,s and v=ψr,s. It is required to prove that…

Q: 1 1 1 1+a 1 1 = abc 1 Use the properties of determinants to show that 1 1+b 1 1 1+c

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Q: A = n N5 - -Om cO 3O17

A: We have to find out the determinant of A by using Laplace's theorem. The given matrix A is…

Q: Suppose a change of coordinates T : R? → R² from the uv-plane to the xy-plane is given by x = 3v +…

A:

Q: By eliminating the arbitrary constants of y = C,x² + C2x³ using determinants, then which of the…

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Q: Compute the determinants in Exercises using cofactor expansion alongany row or column that seems…

A: Given matrix: A=0a0bcd0e0   For any n×n matrix A, determinant using cofactor expansion on the first…

Q: 1.3.6 Show that the multiplicative property of determinants gives the real four- square identity (af…

A: To show: The multiplicative property of determinants gives the real four square identity: -…

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: - If x f(u,v) and y = g(u, v), where u = p(r, s) and v = 4(r, s). Prove that a(x.y) a(r,s) a(x,y)…

A: The given functions are: x=f(u,v),y=g(u,v),u=ϕ(r,s),v=ψ(r,s)

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: Find the values of m for the system to have a unique solution. (Note that the determinant is not…

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Q: Compute the determinants in Exercises using cofactor expansion alongany row or column that seems…

A: Given: Let y=1-103252601001421 To Find: The value of given determinants using cofactor expansion

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

Q: a;jA = Aô;*, Show that where A is a determinant of order three and A" are cofactors of a.

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Q: Compute for the determinant using cofactor expansion 41 2 2 7 1 2 -2 6 6 -6 13 14 [-2 2 -6 1] O -200…

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Q: Linear algebra

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Q: Compute the following determinants via reduction to tri- angular form or by citing a particular…

A: Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question and…

Q: Use the cofactor expansion to compute the following determinant: -4 8 -7 | det -4 2 6 = 0 0 10 –4

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: 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: (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: Evaluate the determinant by general definition and by Laplace expansion: |-1 12 5 -6 -4 9 |4|= 1 1 2…

A:

Q: Which of the following is the Wronski determinant of the functions f(x) = x, g(x) = sinx and h(x) =…

A: The Wronski determinant for 3 functions, is calculated using the determinant below.

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: Use Cramer's Rule to solve this system for u and u½ and show that the solutions u1 and uz are given…

A: Cramer's rule will give us the unique solution of a system of equations if it exists. However, if…

Q: Use la regla de la cadena para determinar y z = (z – y)" ,a = s°t, y = st * = 5(3*t – st')* (2st –P)…

A: Here we using the chain rule

Q: Determine whether the following functions are linearly independent or linearly dependent by using…

A: Given g1x=6x and g2x=6x+2 We have to determine whether the given functions are linearly independent…

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: Compute the determinants in Exercises using cofactor expansion alongany row or column that seems…

A: We can find the value of the determinant by using Cofactor expansion. For n×n matrix We have the…

Q: Using the property of determinants, prove that |24 18 30| 1) 2 1 17 = 0 4 3

A: We need to prove that                         .

Q: [x +y y+z z+x] 5. If A = then compute the determinant of A. y 1 1 1

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Use the cofactor expansion to compute the following determinant. 5 -4 -3 0 8-5 9 0 det 4 1 -8-5 -3 3…

A: Solved below

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

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Q: 0 30 0 3 5 7 0 1. Let A = Using cofactor expansions, compute the determinant of A. 6 8 4 2 0 9 5 0

A: Just expand using first row.

Q: By calculating AB and evaluating the determinants, verify that det AB = det A det B a12 b12 for the…

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Q: Use the cofactor expansion to evaluate the following determinant. 3 -3 5 41 2 1 1 -2 0 0 4 3 ol ܚ ܠ…

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Q: Ja + b а а a + b — b? (За + b) а а %3D а а + bl а

A: Let…

Q: Q9:- If x f(u, v) and y g(u, v), where u = (r, s) and v = (r, s). Prove that a(x.y) a(r,s) a(x.y)…

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Q: Compute the following expression. In the following equation, dA refers to the plane bounded by the…

A: We will find out the required value.

Q: Does f(x,y) = yx² – 2x2 – y² have any local extrema or saddle points? If so, identify them; if not,…

A: We will find out the required value.