Q3: A) Solve the following equations (find x, y, 2) by using inverse matrix method. (Note: Check the answer by the caleulator) sin 8 + In + 2*+3 = -3 In y + 32 – 4 = 1- cos 20 2 2 + 2ln y+2 -3 1+ (cot 0)2

Q: Q2\ If z = 1 + i, what is z3 + z? + z + 1 as a single complex number?

A: Use the following formulae, to simplify the given expression.…

Q: Find the conjugate of – 3i ( 2 + 5i ).

A: Solution

Q: b) Heron's Formula Area = √5(5-a)(s-b)(s-c), where s = 1/(a+b+c) prove using the following steps.

A:

Q: erify the Cayley-Hamilton Theorem for a general 2 x 2 matrix A, a b -[1]. For a nonsingular n x n…

A:

Q: Solve the complex equation (2+j)(3-j2)=a+jb

A:

Q: iree complex Z1 = 1- 2i, z2 = 6i, z2 = -3 -i. Compute the following, with your answer expressed in…

A: given that z1=1-2i,z2=6i,z3=-3-i find a)z1+z2z3b)3z2*-4z1z1c)z1z2*-3iz3

Q: 1. Which of the following is a complex solution to the equation: (x+3)* -4 =-40? (1) 3+7i (3) -3 +6i…

A: hello greetings from Bartelby.i am here to help you.

Q: Let z, and z, be roots of the equation z² + pz + q = 0, where the coefficients p and q may be…

A: Given: Let z1 and z2 be the roots of the equation z2+pz+q=0, where the coefficients p and q may be…

Q: 2) a) Using matrix method solve the following simultaneous equations 2x + 4y = 8 x- 3y = -1 a) Find…

A:

Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

A:

Q: Find the cube root of Z^3=8i lying in the first quadrant of the complex plan

A: Find the cube root of Z^3=8i lying in the first quadrant of the complex plane.  To find the cubic…

Q: 3) Without graphing, determine the number of solutions for (x + 2y3z = 9 [y-3x = 6 (3y - 9x = 18

A:

Q: Find all solutions of the following equationsa a)z/1-z=1-5i   b) (2-i)z+8z^2=0.  c)z^4-16=0

A: a). z1-z = 1 - 5i⇒ z = (1-5i)(1-z)⇒ z = 1 - z - 5i + 5iz⇒ (2 - 5i)z = 1-5i⇒ z = 1-5i2-5i

Q: PS2.5 Use the definition of Ax to write the matrix equation as a vector equation, or vice versa. (a)…

A:

Q: a) Prove the following identity. (Do not use Examples.) (A+B+C)° = A" +B" +C" b) Is the product of…

A: Consider the given information. (a) Consider the left side of the equation. A+B+CT Simplify, the…

Q: 2+j = j(x+ jy) 1- j

A:

Q: Q3) Find complex root of the z³ = -27, k = 0,1

A:

Q: Find the complex representation of H((-1,3),3)a, where a is the translation through i = (3, –4)

A: Given: The complex representation of H(-1,3),3), Where through

Q: Work Problem Given the matrix 0 51 0 4 3 A = x+1 0 1 a) Find the values of x for which cofactor…

A:

Q: Question 3 [20 marks] I. x + y + 2z = 3 2x + 3y  + 5z= 7 3x + 5y + 7z = 12 a) Write as a matrix…

A: The answer is given as follows:

Q: Let x₁, x₂ are the roots of the quadratic equation x² + a where a, b are complex numbers and y₁, y2…

A:

Q: Statement: "Let A and B be n x n matrices, where the columns of A span IR" and B is not equal to the…

A: The given statement is false.

Q: (a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3…

A:

Q: Solve the matrix by using Cramer's Rule method 2x+5y+2z=10 3x+8y+z=3 2y+5z=1

A: To solve the matrix by using cramers rule method.

Q: Q 3 Q) And the deferminant and the inverse matrix of 1 Hee ì N is the complox unit ( which satisties…

A:

Q: a) f(z) = 14/(z2 + 2z + 2) is a complex function, find (1/Tt) S-00° 14/(x2 + 2x + 2)dx %3D

A: Given:  f(z)=14z2+2z+2  1π∫-∞∞ 14x2+2x+2dx

Q: 1. For the following quadratic forms (i) write down the symmetric matrix A (so the form is equal to…

A:

Q: 2. Evaluate0, +3し 1-2i 2.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.