HP Prime Graphing NW280AAABA manual LSQmatrix1, matrix2, Lsq, P*A=L*U, LUmatrix, 3333 … 6666 …

Factorize

LQ LQ Factorization. Factorizes a m × n matrix into three matrices L, Q, and P, where

{[L[m × n lowertrapezoidal]],[Q[n × n orthogonal]], [P[m × m permutation]]}and P*A=L*Q.

LQ(matrix)

Example:

LQ ⎛⎜ 1 2 ⎞⎟ returns ⎝ 3 4 ⎠

⎧	2.2360	… 0
⎨
⎩	4.9193	… 0.8944…

, 0.4472… 0.8944… ,

0.8944… –0.4472…

1 0 ⎫⎬

0 1 ⎭

LSQ Least Squares. Displays the minimum norm least squares matrix (or vector) corresponding to the system matrix1*X=matrix2.

LSQ(matrix1, matrix2)

Example:

	⎛				⎞
LSQ		1 2	,	5		returns
	⎜				⎟
	⎝	3 4		11	⎠

1

2

LU LU Decomposition. Factorizes a square matrix into three matrices L, U, and P, where {[L[lowertriangular]],[U[uppertriangular]],[P[permutation]]

}}

and P*A=L*U.

LU(matrix)

Example:

LU ⎛⎜ 1 2 ⎞⎟ returns ⎝ 3 4 ⎠

⎧
	1	0	,	3	4
⎨
⎩	0.3333… 1			0	0.6666…

,1 0 ⎫⎬

0 1 ⎭

Matrices 483