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Nov
7
comment How can I prove a basis (for RowA, NulA, ColA, or NulA^T) with orthogonality conditions?
Revised! Sorry about that. I should note that the question I'm reading isn't clear on what orthogonality conditions are, and that is where I'm confused. Thank you for the formatting advice.
Nov
7
revised Find a basis for the set of vectors in $\mathbb{R}^4$ in the subspace (hyperplane) $x_1 +x_2 + 2x_3 + x_4 = 0, x_1 + 2x_2-x_3=0$
added 33 characters in body
Nov
7
revised How can I prove a basis (for RowA, NulA, ColA, or NulA^T) with orthogonality conditions?
added 621 characters in body
Nov
7
asked Find a basis for the set of vectors in $\mathbb{R}^4$ in the subspace (hyperplane) $x_1 +x_2 + 2x_3 + x_4 = 0, x_1 + 2x_2-x_3=0$
Nov
7
asked How can I prove a basis (for RowA, NulA, ColA, or NulA^T) with orthogonality conditions?
Nov
7
comment Give an example of a $3$-dimensional subspace of $P_4$ which contains the polynomials…
This answer was fantastic, albeit a bit over my head. I believe this is an Einstein Summation? I'm assuming part of what it does can be labeled synonymous with the definition of linear independent if it = 0. I will study until I understand.
Nov
7
comment Give an example of a $3$-dimensional subspace of $P_4$ which contains the polynomials…
No prob! Just making sure. I'm reading your solution now. Thank you so much for your insight.
Nov
7
comment Give an example of a $3$-dimensional subspace of $P_4$ which contains the polynomials…
Just curious if I'm missing the obvious, but where does the + 4t^4 come from? Did you combine the first two polynomials?
Nov
7
comment Give an example of a $3$-dimensional subspace of $P_4$ which contains the polynomials…
Ah, that's pretty straight forward. It was unclear to me. Is the fact that the subspace must be 3-dimensional significant to the answer, or would I just span the polynomials and/or prove that they are linearly (in)dependent?
Nov
7
comment Give an example of a $3$-dimensional subspace of $P_4$ which contains the polynomials…
What exactly is P_4?
Nov
7
asked Give an example of a $3$-dimensional subspace of $P_4$ which contains the polynomials…
Oct
17
accepted Determinants of Variables
Oct
17
accepted Explain why a determinant function is a cubic polynomial
Oct
17
comment Explain why a determinant function is a cubic polynomial
It doesn't say. That's all the book gives me. I assume it represents a square matrix.
Oct
17
asked Explain why a determinant function is a cubic polynomial
Oct
17
comment Need help with Determining a formula for a Resistance using a linear system for loop currents
This is a fantastic answer.
Oct
17
comment Given a parallelepiped, how do I find the determinant given vertices?
Great! Thank you
Oct
17
accepted Need help with Determining a formula for a Resistance using a linear system for loop currents
Oct
17
asked Given a parallelepiped, how do I find the determinant given vertices?
Oct
17
comment Determinants of Variables
It would certainly alter the k value, but I'm not sure how to denote this.