Question

(a)

Find the determinant D of the 3 X 3
D=|2 1 -1 |
|-1 2 -3|
|1 0 2 |
(b)
Use the determinant in D to find the values of x, y and z if Dx = 18, Dy = 27 and D2 = -36.​

Answer 1

9414 1404 393

Answer:

• D = 9
• (x, y, z) = (2, 3, -4)

Explanation:

A suitable calculator can compute the determinant for you. It is ...

D = 9

Then the values of x, y, z are ...

(x, y, z) = (Dx, Dy, Dz)/D = (18/8, 27/9, -36/9)

(x, y, z) = (2, 3, -4)