Consider a system A*x = b. You know that A is square and non-invertible. You dec
ID: 675474 • Letter: C
Question
Consider a system A*x = b. You know that A is square and non-invertible. You decide to throw caution to the wind and use it's inverse to calculate the value of x. What will happen?
A) MATLAB will happily calculate the value of x, yielding a result that's probably wildly wrong. Generally, the more non-inverible the matrix is, the farther off the result will be computationally.
B) It is impossible to postulate what the behavior will be like, since it strongly depends on other factors not discussed in the problem.
C) MATLAB won't perform the calculation because it'll realize the matrix is non-invertible. D) MATLAB will happily calculate the value of x, yielding a result close (but not exact!) to the correct answer. Generally, the more non-invertible the matrix, the closer the result will be computationally.
Explanation / Answer
The anwer is option C
C) MATLAB won't perform the calculation because it'll realize the matrix is non-invertible.