Algebra
Two questions:
1) Linear Algebra:
I'm supposed to find a basis for the range of the tranformation T: R3->R4 defined by T(0, x1, x2, x3) Now, I found a basis but the basis I found is all zeroes. Am I missing something.
2) Algebra:
Factor into irreducibles:
(x^4)-4
a) over the integers
b) Over the rational numbers
c) over the complex numbers
1) Linear Algebra:
I'm supposed to find a basis for the range of the tranformation T: R3->R4 defined by T(0, x1, x2, x3) Now, I found a basis but the basis I found is all zeroes. Am I missing something.
2) Algebra:
Factor into irreducibles:
(x^4)-4
a) over the integers
b) Over the rational numbers
c) over the complex numbers