Question 10 Not yet answered Points out of 10.00 Consider the non-homogeneous li

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Question 10 Not yet answered Points out of 10.00 Consider the non-homogeneous linear system of equations Ax = b, where A is a m × n matrix, and b is a given vector in R". Select the incorrect statement from the following. Enter None if they are all correct. Select one: Flag question If Ax = b has two different solutions, then it has 3 different solutions If A is not invertible, then Ax = b has no solution None If Ax = b has only one solution, then Ax = c has only one solution for any vector c E Rm lf Ax = b has no solution, then Ax = 0 has two different solutions. O

Explanation / Answer

Answer:None

1. 3rd solution may bedependnent on 1st two if we get the condition of infinite solution.

2. Ax=b might have infinite soltuion.

4. Ax=c may have unique or no solution

5. Ax=0 might have trivial or infinite solution depending on the rank of matrix A

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