Transform the equations in quadratic form and hence solve

Question

Assignment

1. Transform the equations in quadratic form and hence solve it
a) X⁴ -4 = 0
b) X - √(X +7) = 5

2. Find the solution sets Y = 2X + 3,Y = 2X²,

3. Solve the system of equation

a) X+2y = -4, 3x-5y = -1
b) 4x+9y = 5, 5x+3y = 8

4. Let A = and B =, c=3 ,d=5 then verify the formula

a) (AB)^t = B^t.A^t

b) (A+B)^t = A^t.B^t

c) c(A+B)=c.A + c.B

d) (c+d).A=c.A + d.A

5. Show the matrix A =  is a singular matrix.

6. Solve the system of equations by Cramer's rule

3x+y+z = 3

2x+2y+5z = -1

x-3y-4z = 2

7. Calculate the inverse of A = .