Consider the following system of equations: 2x1 − 4x2 + 3x3 − x4 + 2x5 = 03x1 − 6x2 + 5x3 − 2x4 + 4x5 = 05x1 − 10x2 + 7x3 − 3x4 + 18x5 = 0.find the general solution of the system.

The system has a corresponding augmented matrix

Let's get this into reduced row echelon form.

Add 3(row 1) to -2(row 2), and add 5(row 1) to -2(row 3):

Multiply through row 2 by -1:

Add -1(row 2) to row 3:

Multiply through row 3 by 1/2:

Add row 3 to row 2:

Add -3(row 2) and row 3 to row 1:

Multiply through row 1 by 1/2:

This tells us

The matrix has rank 3, so we can pick 2 free variables, say and . Then the general solution to the system is

where .

4/6 = 2/3

so it should take 3/3 hours per man. so 9 hours is the answer 3*3 =9

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d