Consider the matrix (a) What is the determinant of the matrix A? (b) What is the bandwidth

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Consider the matrix1 02 -3 OON! 0 0 00  -50 3 0 0 2 In 2 -1 1/2 0 In 3 3 2 0 1/3

(a) What is the determinant of the matrix A?

(b) What is the bandwidth of the matrix A?

(c) What is the 1-norm of the matrix A?

(d) How many eigenvalues do you expect to have for A? (If you know the eigenvalues, you can include them too but this is not required.)

(e) Is matrix A diagonally dominant?

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