Ok. I believe I have the correct answer now after carefully rereading the definitions and theorems.
The set is in R^3. The dimension of the space R^3 is 3. The numbers of vectors in a linearly independent set of a vector space is less than or equal to the dimension of the vector space. And...
Homework Statement
Without any calculation, explain why [(1 3 0)' (2 2 1)' (-1 0 1)' (1 -3 1)' ] is a linear dependent set.
The Attempt at a Solution
I used the theorem which states that the number of vectors in any linearly dependent set is greater than or equal to its dimension...
Homework Statement
Solve the following integrale equation by rewriting them as initial value problems:
y(x) = 2 + ∫(y(t))^2dt -this is a definite integral with limits from 1 to x
Homework Equations
The Attempt at a Solution
I am unsure how to approach this question at all...
Homework Statement
Find the cosines of the internal angles of the triangle which has the following coordinate vectors as its vertices: A(4,0,2) B(6,2,1) C(5,1,6)
Homework Equations
I understand that you have to find the 3 vectors which represents each side of the triangle in order to...