Basis6

Find the matrix of a form with respect to a basis
Solution to Linear Algebra Hoffman & Kunze Chapter 9.2 Exercise 9.2.2 Solution: It is not a form...
Solution to Linear Algebra Done Wrong Exercise 1.2.5
Let a system of vectors ${\bf v}_1$, ${\bf v}_2$, $\cdots$, ${\bf v}_r$ be linearly independent but ...
Solution to Linear Algebra Done Wrong Exercise 1.2.4
Write down a basis for the space of a) $3\times 3$ symmetric matrices; b) $n\times n$ symmetric matr...
Solution to Linear Algebra Done Wrong Exercise 1.2.3
Recall, that a matrix is called symmetric if $A^T = A$. Write down a basis in the space of symmetric...
Solution to Linear Algebra Done Wrong Exercise 1.2.2
True or false: a) Any set containing a zero vector is linearly dependent; b) A basis must contain ${...
Solution to Linear Algebra Done Wrong Exercise 1.2.1
Find a basis in the space of $3\times 2$ matrices $M_{3\times 2}$.