Find the determinant of the matrix A. (Hint: Apply the properties of determi- nants). 1 t t2 t3 1 x2 A Y y? 1 22 23 Let f(t) = detA, with x, y, z all distinct. Show that f(t) is a cubic polynomial and the coefficient of t° is non-zero.

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: 3.) Find the of the W/P 1 determinant matrix: N/M J|M

A:

Q: Consider the matrix A = a b c d e f g h i If it is given det(A)=−3, find the determinant of D, where…

A: A=abcdefghidetabcdefghi=-3aefhi-bdfgi+cdegh=-3aei-fh-bdi-fg+cdh-eg=-3aei-afh-bdi+bfg+cdh-ceg=-3gbf-e…

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: For Exercise, use a graphing utility to evaluate the determinant of the matrix. Round to the nearest…

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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: 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: a Let A = d. e f Lg h If det (A) = -7, compute the determinant of 2a 26 2c B = -e-f f 3g 3h 3i O -42…

A: Given matrix A=abcdefghi and det(A)=-7

Q: For Exercise, use a graphing utility to evaluate the determinant of the matrix. Round to the nearest…

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Q: E = F = [2 13 101 1 0210 0 1 2 3 1 -2 0 0 315 3 -7 0 -4 2 010 021 1 001

A:

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: Find the determinant of the matrix 0 1 0 10 0 0 0 1 A undefined B -1 D) 1

A: use the formula for computing determinant.

Q: 6e Let P(x) = A + Bx + Cx² + Dæ³ be a degree three polynomial and xo, X1, X2, Xz be four mutually…

A:

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: Find the extreme values, if any, of the following four functions. Check whether they are maxima or…

A: According to the given information it is required to find the extreme values of the function and…

Q: 2 y" + 8y = sec 2x

A:

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: x y z Let t u w = 4. Then which of the following is the value of the determinant kl m -3y -3x -3z…

A: We use properties of determinant

Q: Find the Jacobian determinant to the test the existence of functional dependence between these three…

A: We have to find the Jacobian determinant of the functions Y1, Y2 and Y3. Here, these are the…

Q: Find the extreme value(s) for the following function and determine local (global) maximum or minimum…

A: Given: z=e2x+e-y+ew2-(2x+2ew-y)

Q: (a) Find x, y, z and B, where [0 x 37 A= 1 -3 y; A² = 1; c(4+1) + 3B7 = 2A and I: unit matrix 4 4…

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Q: Find the determinant of the elementary matrix. (Assume k + 0.) 1 0 0 O 6k 0 0 1

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Q: 1. [3 pts. each] Let X and Y be 3 x 3 matrices such that det(X) = 3 and det(Y) = -7. Compute the…

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Q: Find the value of the constant 6 for which J is continuous at * = -1 and determin f(-1). z - 5x bx -…

A: The given function is: f(x)=x2-5x        x&lt;-1bx3-7x≥-1

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: a b c de f Given det = 4, find the following determinants. gh i ghi a b c det de f

A: Given abcdefghi = 4

Q: 2x + 5y 9 5x + 7y = 8 Use Cramer's Rule to find the determinant of the coefficient matrix D and…

A: To find the determinant

Q: Evaluate the determinant by general definition and by Laplace expansion: |-1 5 4 3 4 8 3 |A| = 8 5 7…

A:

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: 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: 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: [Compute the Wronsky determinant (Wronskian) of the functions Y1, Y2, Y3 defined below with…

A: The given functions are, y1(x)=2a+6xy2(x)=x ln(bx)y3(x)=cx2

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: Find the extreme value, if any, for the following function and check whether it is maximum or…

A: Solution:

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

A: Given matrix is A=x+yy+zz+xzxy111

Q: 't+ 2 3t t+ 1 (b) Consider the matrix A = t- 1 where t is 2t + 4 t 3t + 1 a real number. For what…

A: We find value of t

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

A:

Q: 5. Let a, b e R. Compute the determinant of the following n x n matrix a 9. ... b. 0. 0 0 a ... 0.…

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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: x²y – x – 2 = 0 xy² – y – 6 = 0 - - with xo 0.9 and yo 2.9. W - -he determieent of the x2 noetriv of…

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Q: Let M = [4 a 0 0 3 b 0 0 1]. Find the determinant of 2M + 3I3

A:

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: For what value of x is determinant of M=0? 7 Solve the following simultaneous equations by matrix…

A: As per guidelines I solved your first question with all three subparts. For more solutions please…

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: E. Compute for the determinant of the 4x4 matrix below using minors and cofactors. 3 2 2 2 2 1 1 1…

A: Given that: 0322020020110104

Q: To find the reaction forces F1, F2 and F3 acting on a simply-supported beam, the following…

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Q: 9. (BH) Consider the following matrix: a11 a31 A = ɑ22 аз1 азз Show that the determinant of this…

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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: 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.