9. Given that, for some a, b, c, d, e, ƒ, 9, h, i, k E R, a b c P e f =3, g h i evaluate the following determinants: (a) (b) (c) –lg -1h -li kf е — 26 b |g+d+a_h+e +b i+f+c| |a 3d 2g b 3e 2h c 3f 2i d – 2a f – 2c kd ke ka kb kc

Q: |a1 a2 a3 -: Question 4. Given b₁ b2 b3 = -2. Evaluate the following |C₁ C2 C3 determinants (a) bil…

A: a1a2a3b1b2b3c1c2c3=-2

Q: If а b с = -1 then what is the value of the determinant -y 3q + b 3r + c ? 2p 2q 2r

A: We have to find the determinant

Q: 0 What is the determinant of -2 1 -2 3 6 -12? -2 3

A: Introduction: The determinant of a matrix is the scalar value computed for a given square matrix.…

Q: Evaluate the following determinants and negative of determinants of order two: (a) (1) 3 4 5 (ii) 3…

A:

Q: Jse determinant to calculate the area of a triangle with the following vertices: A = [2,1] B = [8,7]…

A:

Q: a a. Evaluate: a a a b. Evaluate: 0 0 0 a a a al la a a a a a a c. Evaluate: 0 0 a a 0 0 0 a d.…

A:

Q: Evaluate the determinant of D = = 135 A. t² +t+8 B. t² + 28 6 tfzl t + 2 C. t² - 10 D. t² 10t 28

A:

Q: Let A, B and C be points on the plane with the following coordinates: A = (9,–4), B = (32,13), C =…

A:

Q: Find the value of each of the following determinants: b)*| 0 1 -1 0 -2 -1 -3 -2 2 3 1 2 3 -3

A:

Q: Evaluate the following 4 x 4 determinant. Use the properties of determinants to your advantage. -5…

A:

Q: 3] Use determinants to find the values of X, Y, Z, W, M. 26 14X7Y+5Z - 11W + 21M = 33 -3X + 5Y-13Z -…

A: We have to find the values of X, Y, Z, W, and M using determinants.

Q: |-12 6. - [-2 0 -1 A = 4 1 ve det(A)= 13 ise 24 18 24 3 4-

A: detk.A=kn.detA Where n is order of matrix .

Q: Consider that the relation between the cost of production, the lot of size production and the number…

A: Multiple linear regression model: A multiple linear regression model is given as y = b0 + b1x1 +…

Q: 1. Find the determinant for -6 4 1 -3" a) E = b) F =| -5 2 -2 5

A: (a) Given matrix is E=−64−52 We have to find the determinant of E=−64−52 detE=−62−−54=−12+20=8…

Q: (2x + y - 3z = -9 | x + 5z = 14 | −3x + 2y - z = 4). From 3 (three) equations, what is the value of…

A: Solution :-

Q: Show your complete solutions: 1. Using cramer's rule: 2 x1-3 x2 +1.4 x3= -5.2, 1.3 x1 + x2+2.4 x3=…

A:

Q: Use determinants to find x, y, and z in t

A: GIven,                 x+y+2z-6=03x+2y+4z-9=02x+3y-6z-3=0

Q: x + y – k = 0 -x – 2y + 7 = 0 4.x + 2ky – 20 = 0

A: Given system of equation is x+y−k=0−x−2y+7=04x−2ky−20=0........1 Equation 1 can be written as…

Q: 1 2 3 4 4321 (b) 21 4 3 (c) -2 3 41 2 -3 -2 10-2

A: Determinant is 4

Q: Answer 16 and 17. Thank you!

A:

Q: abc -4a -4b -4c If de f =2, what is the value of the determinant 2f ? g-9d h-9e i-9f 2d 2e ghi O -16…

A:

Q: Q2, please show work and show work in simplest way possible. Thanks.

A:

Q: find a linear homogenous constant coefficient equation with the given solution: y(x) =…

A:

Q: 3 4 1 4. 12 24

A: Solution

Q: Use the properties of determinants, to determine which of the following equalities is true ¥4 2 -2…

A: To determine which of the following equalities are true By Using properties of determinants, 1 )…

Q: 66 If a,, b, EN for i = 1,2, 3, then c e determinant; 1+x) a₁b₁ 1+ x) 0₂b₁ (1+x) a₁b₂ (1+x) 0₂b₂…

A:

Q: By using the properties of determinant prove that a? |b² + c² b² a? c2 + a? b2 4a?b?c? c2 c2 a² + b²

A: By using the determinant property that is:…

Q: a. a d g -3b - 3e -3h b c e f h i -a b. -d -g 3c + x b 3f+y e 3i+z h

A:

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.