# LearningPython

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# 14 Accepts

 Dec12 accepted Give a context-free grammar to generate the following language $L = \{ a^ib^jc^k \space|\space 0 \leq i \leq j \leq i + k \}$ Nov19 accepted Describe the smallest subspace of $M_{2\times 2}$ that contains matrices… Nov12 accepted Let $B =${$1-t^2, t-t^2, 2-2t+t^2$}. Check that $B$ is a basis for $P_2$ and find $[3+t-6t^2]_B$ Nov12 accepted How can I prove a basis (for RowA, NulA, ColA, or NulA^T) with orthogonality conditions? Nov7 accepted Give an example of a $3$-dimensional subspace of $P_4$ which contains the polynomials… Nov7 accepted Find a basis for the set of vectors in $\mathbb{R}^4$ in the subspace (hyperplane) $x_1 +x_2 + 2x_3 + x_4 = 0, x_1 + 2x_2-x_3=0$ Oct17 accepted Determinants of Variables Oct17 accepted Explain why a determinant function is a cubic polynomial Oct17 accepted Need help with Determining a formula for a Resistance using a linear system for loop currents Oct3 accepted How do I determine linear independence when I don't know the values of the vectors? Oct3 accepted Show that the transformation T defined by $T(x_1, x_2)\; = \;…$ is NOT linear. Oct3 accepted 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 $(1,-1)$ Oct3 accepted How to solve / set up three equations three unknowns with a matrix? Oct3 accepted What do I do if I've been asked to find the preimage of a vector, but the inverse of the Transformation Matrix doesn't exist?