State three disadvantages of computing the inverse of a, Basic Computer Science

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State three disadvantages of computing the inverse of a

1. What is the overall cost in flops of applying a forward or backward solve?

2. What is the overall cost in flops of decomposing a matrix using LU?

3. During the course of Gaussian elimination without pivoting a zero pivot has been encountered. Is the matrix singular?

4. State three disadvantages of computing the inverse of a matrix to solve a linear system rather than using the LU decomposition approach.

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