Given find BA and use this to solve the system of equations y + 2z = 7, x – y = 3, 2x + 3y + 4z = 17.

Question

Philoid · Accepted Answer

We have,

BA = 6I …(i)

Now, given system of equations is:

y + 2z = 7,

x – y = 3,

2x + 3y + 4z = 17

So,

Applying R₁→ R₂, we get

Applying R₂→ R₃, we get

Now, …(ii)

So, BA = 6I [from eq(i)]

and

Now, putting the value of B^-1, in eq. (ii), we get

⇒

∴ x = 4 , y = 2 and z = -1