Projecting to the range of a matrix


by mikael27
Tags: matrix, projecting, range
mikael27
mikael27 is offline
#1
Mar7-12, 09:23 PM
P: 59
1. The problem statement, all variables and given/known data

Let U = span({(1, 2, 1)t, (1, 0, 0)t}) and V = span({(0, 1, 1)t}) be subspaces of
R3. Find the matrix B representing the projection onto V parallel to U.

2. Relevant equations



3. The attempt at a solution

If a matrix C with range U and and a matrix D whose nullspace is V then we can find the projection of matrix B

B = C(DC)−1D

Is my thought correct?
Phys.Org News Partner Science news on Phys.org
Better thermal-imaging lens from waste sulfur
Hackathon team's GoogolPlex gives Siri extra powers
Bright points in Sun's atmosphere mark patterns deep in its interior
mikael27
mikael27 is offline
#2
Mar8-12, 07:10 AM
P: 59
can anyone help ?


Register to reply

Related Discussions
Finding the range space of a matrix Calculus & Beyond Homework 8
Range & Null space of A matrix Calculus & Beyond Homework 8
Range of a Matrix Transformation linear algebra Calculus & Beyond Homework 5
Basis of range of a matrix relative to some bases Calculus & Beyond Homework 2
Plotting a Matrix within an X,Y range Programming & Computer Science 1