Matrix Question please help?

[roxyfoxyevans]

The matrix P is given by P = (1 2 1
..........................................1 0 3
..........................................0 0 1

If the product matrix p = 1 A B .. ......1 0 0 Find P Inverse
.................................... 0 1 C . = ....0 1 0
......................................0 0 1 .. . . . 0 0 1

Hence work out the matrix product P . P inverse to find ABC .
I'm stuck on this one, can anybody guide me or tell me how it's worked out please?

 

[stapel]

The matrix P is given by P = (1 2 1
..........................................1 0 3
..........................................0 0 1

If the product matrix p = 1 A B .. ......1 0 0 Find P Inverse
.................................... 0 1 C . = ....0 1 0
......................................0 0 1 .. . . . 0 0 1

Hence work out the matrix product P . P inverse to find ABC .
I'm stuck on this one, can anybody guide me or tell me how it's worked out please?

I'm very not clear on what the question is. (Trying to do "formatting" with spaces or periods is generally unsuccessful.) I think you mean the following:

---

The matrix P is given by:

[1 2 1]
[1 0 3]
[0 0 1]

If the product matrix p equals:

[1 A B]
[0 1 C] =
[0 0 1]

[1 0 0]
[0 1 0]
[0 0 1]

...then find P-inverse. Hence, work out the matrix product P*P-inverse to find ABC.

---

Is this correct? If so, are A, B, and C also matrices, or are they just numbers? How does "p" relate to "P"? What is a "product matrix"? Is "ABC" a product, or a concatenation? Why are the values of A, B, and C not simply 0, as a straightforward comparison of the last two matrices' entries would suggest?

When you reply, please include a clear listing of your thoughts and efforts so far. Thank you!