x y z rhs
1 1 2 3
2 1 6 3
0 3 4 13
i need to multiply some number and add to r3 and get o in r3
answer quick!
To find the number you need to multiply and add to obtain zero in the third row (r3), let's go step by step:
1. Write down the equation for the third row (r3):
0x + 3y + 4z = 13
2. Since you want to obtain zero in r3, we can rewrite the equation as follows:
0x + 3y + 4z = 0
3. To eliminate the x variable, we can multiply r1 (the first row) by 4 and subtract it from r3:
r3 = r3 - 4r1
The resulting equation will be:
0x + (3 - 4) y + (4z - 4x) = 0
Simplifying it further, we get:
-y + 4z - 4x = 0
4. Now we need to find the value of y in terms of z and x. Rearranging the equation, we have:
-y = 4x - 4z
5. Multiply the equation by -1 to get y isolated:
y = -4x + 4z
Therefore, you need to multiply -4 to x and add 4 to z in order to get zero in r3.