Please use MATLAB

3. Suppose that we have the matrix A defined as 0 1 0 0 -1 0 0 A = 0 1 -1 1 0 0 0 -1 0 -1 (a) Find the SVD for A. That is, find U, E, and VT. (b) Find V, Et and Ut from your results in (a). (c) From your results in (b), find the pseudo-inverse of A, ie find A'. (d) By direct calculation, show that At obeys the Moore-Penrose conditions: (1) AAA = A (2) AtaA* = A* (3) (AAT)T = AA+ (4) (ATA)T = ATA To do this, you might want to define, say A1 = AATA A and find ||A1||. A small value here would indicate that the identities are well obeyed. 3. Suppose that we have the matrix A defined as 0 1 0 0 -1 0 0 A = 0 1 -1 1 0 0 0 -1 0 -1 (a) Find the SVD for A. That is, find U, E, and VT. (b) Find V, Et and Ut from your results in (a). (c) From your results in (b), find the pseudo-inverse of A, ie find A'. (d) By direct calculation, show that At obeys the Moore-Penrose conditions: (1) AAA = A (2) AtaA* = A* (3) (AAT)T = AA+ (4) (ATA)T = ATA To do this, you might want to define, say A1 = AATA A and find ||A1||. A small value here would indicate that the identities are well obeyed