- #1
RobandJoanna
- 1
- 0
Help! System of equations!
For a natural number define the n*n matrix A = (aij) by setting aij = min(i,j). Write down the matrix a for a few values of n = 2,3,4... Show that A is invertible and find its inverse.
Hence or otherwise show that the system of equations Ax =b , where x=(x1,...xn) and b=(b1...bn) has a unique solution.
Anyone help with how to solve that?
Thanks
Rob and Joanna!
For a natural number define the n*n matrix A = (aij) by setting aij = min(i,j). Write down the matrix a for a few values of n = 2,3,4... Show that A is invertible and find its inverse.
Hence or otherwise show that the system of equations Ax =b , where x=(x1,...xn) and b=(b1...bn) has a unique solution.
Anyone help with how to solve that?
Thanks
Rob and Joanna!