Question

4 0 2 Find the least squares solution to the inconsistent system Ax=b, for A=0 2 and B= 0 1 1 11​

Answer 1

The least squares solution to the inconsistent system Ax=b is x = 1 6.5.

Step-by-step explanation:

To find the least squares solution to the inconsistent system Ax=b, we can use the equation ATAx=ATb, where AT is the transpose of A. In this case, A=0 2 and b=0 1 1 11. The transpose of A is 0 0 and 2 1. Therefore, the equation becomes:

0 0 2 1 * x = 0 0 0 2 1 * 0 1 1 11

This equation can be simplified as:

2x = 2 13

Dividing both sides by 2, we get:

x = 1 6.5