Use row-equivalent matrices to solve the systemx+4y+3z=63x+9y=18-5x-6y+2z+-5

Examine consistency. Solve if possible.x1 + 2x2 + 3x3 = 4,4x1 + 5x2 + 6x3 = -7,7x1 + 8x2 + 9x3 = 10

Soln:

Or, x1 + 2x2 + 3x3 = 4 …(i)

Or, 4x1 + 5x2 + 6x3 = -7 ….(ii)

Or, 7x1 + 8x2 + 9x3 = 10 …… (iii)

Multiplying equation (i) by 4 and then subtracting from (ii),

Or, -3x1 – 6x3 = -23 ….(iv).

Again, multiplying equation (i) by 7 and then subtracting from (iii),

Or, - 6x2 – 12x3 = -18….(v)

Multiplying equation (iv) by 2 and then subtracting from (v),

0 = 28 …(vi)

Now, we have the following equations,

Or, x1 + 2x2 + 3x3 = 4….(i)

Or, - 3x2 – 6x3 = -23 …(iv)

Or, 0.x3 = 28 ….(vi).

No value of x3 satisfies...

Solve by Gauss Elimination method.3x+6y+z=162x+4y+3z=13x+3y+2z=9