Linear Algebra Answers

find (1,0,0) x (0,0,1)

Give an example of a linear operator on R^4 which has no eigenvectors

does a system of 438 homogeneous equations in 245 variables always has a solution

Given Matrix A= |123|
|023|
|003|

Find the basis of Col A and the dim of Col A

Use the cross product to find the sine of the angle between the vectors u = (2,8,-2) and v = (2,8,2) .

Find the orthogonal projection of u on a
u = (6, 6, -5) and a = (1, -2, 0)

Give the exact answer, using fractions if necessary.
projau = (?, ?, ?)

Thank you for your help!

which method of solving systems of equations is best for you to understand and explain why (substitution or addition). Add an example to your post so other students could understand what you mean.

ex:
2x-3y=6
3x+6y=16

x/2 + y/3 = 2/3
x/2 + 2/y = -1
What is the solution of the system?

my school work is online. I can not copy and paste. How would you all be able to help me? There is a possibility of log back in & it being new question...

Suppose A is an m x n matrix and B is an n x l matrix. Further, suppose that A has a row of zeros. Does AB have a row of zeros? Why or why not? Does this also hold true if B has a row of zeros? Why or why not?


Give an example of two matrices A and B for which AB=0 with A not equal to 0 and B not equal to 0.

If T is a transpose map, such that T(A) = transpose of A for
any 2 by 2 matrix A with real entries, find the eigenvalues of T and a basis of M_2(R) (where M_2(R) denote all the 2 by 2 matrices with real entries) with respect to which T is diagonal