Consider the following system of linear equations. x-3y=-5

y+3z=-1

2x-10y+2z=-20

i. Write the system in the form A . (1 mark)

ii. Find the inverse of A using the Gauss-Jordan elimination. (4 marks)

iii. Evaluate det(A) using co-factor method. (2 marks)

iv. Find the inverse of A using the determinant and the adjoint of A, i. e.,

A-¹ = -

(A)

Check that your answer coincides with your answer in part (ii). (4 marks)

v. Find the

-factorization of A. (4 marks)

vi. Solve the system using the

-factorization method. (3 marks)

vii. Solve the system using Cramer's Rule. Check that your answer coincides with your answer in part (vi). (5 marks)

PROY BELOW

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

14

step-by-step explanation: