3 Using matrix diagonalisation, solve the following system of first order difference equations: Xn+1 = 6xn + Yn Yn+1 = 5x + 2yn with initial conditions to = 1 and yo = -1.

Q: -48 6

A:

Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

A:

Q: Divide. 3x – 3 7x - 7 Sx2 24 (x - 1) 7x(x - 1)

A:

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

Q: 4x e 3x

A: I = ∫4x e−3x dx

Q: 4. 3*+4 72x-1

A:

Q: 1. O O O O lim (In(x))* ? 5.

A: Consider the given expression. y=limx→0+lnxxx Take ln on both sides of the equation.…

Q: 5/14+1/6

A: 514+16=15+742

Q: 4 3/4 - 2 5/6

A: Given that the expression is

Q: 13 0 4 Let A = and B = Find 4A + B. 2 4 -16

A: A = 1324B = 04-16

Q: 6 5 3 5 6 2 Let D =| 4 -5 7 and E = 1 0 7 1 0 -3 2 5 Find - 5D- 6E.

A: given matrices are

Q: 目 +8 LI +T 现 +04 +C4 |F|E|F|| ||||4 4 4 2 2

A:

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: expand 2m(m+3)

A: We need to expand the following expression : 2m(m+3)

Q: 4. Select all the expressions that can be factored into a squared binomial. A. y² + 2y + 1 25 B.w?…

A: Answer and explanation is given below

Q: Expand (a −b)4

A:

Q: 14. (27 – 3 + 3k ) + 3(7 – !J + k )

A: