3x +4y +7z=4,2x +3y+z=5 and 3x+4y+z=7 using doolittle's method

Question

Use doolittle's factorization method.

Answer 1

The equation are .

Above equation can write matrix form.

Use doolittle's method

Where

Comparing on each side

,

Let

Where

,

,

.

Therefore, .