Let be an matrix with inverse , an -vector and the dimensional null vector. is given in the following partitioned form...

Determine symbolically in a partition form.

For which I get the following...

Since B is non-singular, B does not equal 0...

Is this correct so far?

The question then asks the dimension of and the dimensions of the submatrices in .

Am I right in thinking the dimension of A is m+1, the dimension of is m and the dimension of is 1?

Thanks for the help.