57 265
Assignments Done
Successfully Done
In February 2018
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Linear Algebra Question for Katelynn Bento

Question #5254
Given Matrix A= |123|

Find the basis of Col A and the dim of Col A
Expert's answer
Notice that the matrix A is upper-triangle, so its determinant is a
of diagonal elements:

det(A) = 1*2*3 = 6.

Moreover, det(A) is
Therefore the columns of A are linearly independent and
they constitutive a basis for R^3, so R^3 = Col(A).

any base of R^3 fits to be a base for Col(A),
for instance the columns of

(1,0,0), (2,2,0), (3,3,3)


(1,0,0), (0,1,0),

are the base.

The dimension of Col(A) is the dimension of
R^3 and therefore is equal
to 3.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question