HP Prime Graphing NW280AAABA manual Choleskymatrix, Example CAS view, Cholesky ⎜, IhermiteMtrxA

Diagonal Given a list, returns a matrix with the list elements along its diagonal and zeroes elsewhere. Given a matrix, returns a vector of the elements along its diagonal.

diag(list) or diag(matrix)

Example:

diag⎛⎜ 1 2 ⎞⎟ returns ⎝ 3 4 ⎠

1 4

Cholesky For a numerical symmetric matrix A, returns the matrix L such that A=L*tran(L).

cholesky(matrix)

Example:
					⎛		⎞
In CAS view,						3 1		returns
					cholesky⎜		⎟
					⎝	1 4	⎠
⎛				⎞
	3		0
⎜				⎟	after simplification
⎜	3		33	⎟
⎜				⎟
⎝	--------			⎠
		3	3

Hermite Hermite normal form of a matrix with coefficients in Z: returns U,B such that U is invertible in Z, B is upper triangular and B=U*A.

ihermite(Mtrx(A))

Example:

⎛ 1 2 3 ⎞

ihermite⎜⎜ 4 5 6 ⎟⎟ returns ⎝ 7 8 9 ⎠

–3	1	0	,	1	–1 –3
4	–1	0		0	3	6
–1	2	–1		0	0	0

Matrices 481