The kernel is the set of all points in $\mathbb {R}^5$ such that, multiplying this matrix with them gives the zero vector. Again you can find this in a similar way.

Oct 2, 2014 · I'm interested in learning how to solve a relatively general sort of problem that comes up a lot in my problem sets and will presumably come up in future exams. I'm asked to …

I'm having trouble understanding what it means to find the kernel of a matrix. I have a matrix as follows and I need to determine the kernel. $\begin {bmatrix}2 & 4 & 5 \\ 1 & 2 & ...

Sep 18, 2011 · Homework Statement find a basis of the kernel of the matrix that 1 2 0 3 5 0 0 1 4 6Homework Equations how the vectors are linearly independent and span the kernel The …

A basis of the image is the columns in the original matrix which correspond to the pivot columns in the row reduced matrix. So presumably the first and second columns of your row reduced …

Jan 26, 2009 · Homework Statement Find a matrix whose kernel is spanned by the two vectors u=(1,3,2) and v=(-2,0,4). Homework Equations The Attempt at a Solution Tried setting vectors …

I suppose there is some good to removing common divisors. Since the basis for the range is one dimensional the basis for the kernel must be two dimensional. It comes from the 0 vector in the …

Apr 18, 2006 · To find orthonormal bases for the kernel and row space of matrix A, the matrix was reduced to its RREF. The orthonormal bases were calculated by normalizing the vectors …

How to calculate basis of kernel? Ask Question Asked 12 years, 10 months ago Modified 11 years, 2 months ago

Oct 15, 2012 · Do you understand what the problem is asking? You are gvien a linear transformation that maps every matrix to a number, its trace. This problem is asking for the …