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### Questions (20)

 11 Find a $4\times 4$ matrix $A$ where $A\neq I$ and $A^2 \neq I$, but $A^3 = I$. 4 How to solve / set up three equations three unknowns with a matrix? 3 A context-free grammar for the language $L = \{ a^ib^jc^k \space|\space 0 \leq i \leq j \leq i + k \}$ 2 A linear transformation $T$ is defined by $T(x_1, x_2)$ Find the image of the line that passes through the origin and point $(1,-1)$ 1 Row Reduction with Cofactor Expansion

### Reputation (170)

 +5 Describe the smallest subspace of $M_{2\times 2}$ that contains matrices… -2 Show that $C(n,k) = C(n-1,k) + C(n-1,k-1)$ +5 Find a basis for the set of vectors in $\mathbb{R}^4$ in the subspace (hyperplane) $x_1 +x_2 + 2x_3 + x_4 = 0, x_1 + 2x_2-x_3=0$ +5 Given a parallelepiped, how do I find the determinant given vertices?

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### Tags (11)

 0 linear-algebra × 18 0 proof-writing 0 determinant × 4 0 statistics 0 vector-spaces × 3 0 formal-languages 0 transformation × 2 0 geometry 0 matrices × 2 0 combinatorics

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 Mathematics 170 rep 9 Robotics 58 rep 2 Stack Overflow 23 rep 6 Ask Ubuntu 11 rep 1 Meta Stack Exchange 1 rep