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Apr
10
accepted About the particular solution given an homogeneous solution in a recurrence relation.
Apr
9
accepted How to calculate the determinant when the diagonal is in terms of $k$?
Apr
9
accepted How to determine column dependency without calculating the determinant?
Apr
9
accepted Going from $X^tAB - I = X^t$ to $X^t(AB-I) = I$ in matrix algebra.
Apr
9
accepted Calculating matrix determinants based on another's.
Apr
8
accepted What cases should I check when I am looking for the possible infinite solutions of a matrix?
Apr
7
accepted Determining the necessary values for a matrix' coefficients to achieve a certain rank.
Apr
7
accepted Why is a matrix $A$ that fulfils $AA^t = I$ invertible?
Apr
7
accepted How does Laplace expansion work?
Apr
7
accepted Find the values of $k$ that make this system inconsistent, with unique solution, and with infinite solutions.
Apr
6
accepted Calculating the determinant of $-2A^{-1}$ given the determinant of $A$.
Apr
6
accepted If a matrix is not invertible, is it still possible to find a left and/or right inverse?
Apr
6
accepted How to solve this homogeneous system, with a missing column?
Apr
5
accepted What did I do wrong with Gaussan Elimination for $\begin {cases} x + 5y + 11z = -5\\ 2x + 3y + 8z = 4\\ -x + 2y + 3z = -9 \end {cases}$?
Apr
2
accepted Are there no solutions for $\begin {cases} 2x+4y = 6\\ 3x+6y = 5\end {cases}$?
Apr
2
accepted Can all equation systems be reduced to the identity matrix?
Apr
1
accepted Recurrence relation to calculate the number of strings of $n$ characters that don't have consecutive vowels.
Dec
5
accepted Finding the explicit formula for the succession $x_0=2, x_{n+1} = 5x_n$ and proving it with induction
Dec
5
accepted Proving $\frac{(n+1)^4}{4}+(n+1)^3\le\frac{(n+2)^4}{4}$ for all $n \ge 1$.
Dec
3
accepted Proving by induction that $n(n+1)(n+2)$ is divisible by $6$ for all $n \ge 1$