Hello, i_zz_y_ill!

(iii) Find the value of for which the system has solutions.

. .

We have: .

The last row of the matrix is all zeros.

To have a solution, the last term must also be zero.**

. .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

We have: .

On the right, replace with the parameter

And we have: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

**

If the last row were something like: .

. . the system would havenosolution . . . remember?