Identify the inverse matrix a^-1 and the solution matrix x of the system of equations

B is correct.

and

Explanation:

First we make system of equation and then make coefficient matrix A

Let $x represent cost of a burger.

Let $y represent cost of a fries.

Let $z represent cost of a cold drink.

Wiston pays $8 for an burger, an fries and a cold drink.

So, x+y+z=8 eq (1)

Tia buys 2 burger and a drink for $10.50

So, 2x+z=10.50eq (2)

Georger buys a burger, 2 fries and 2 drink

So, x+2y+2z=12eq (3)

Now we make coefficient matrix A

We have solution of matrix AX=B

Now we take pre multiply of A inverse

Now we find A inverse

Swap matrix

Now we apply row operation

Swap matrix

Now we apply row operation

Similalry, we will change above elelemt and change into Idenity matrix

So,

So,

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