I am reading "Analysis on Manifolds" by James R. Munkres.
Definition:
Let $V$ be a vector space. Let $V^k = V \times \cdots \times V$ denote the set of all $k$-tuples $(v_1, \cdots, v_k)$ of vectors of $V$. A function $f : V^k \to \mathbb{R}$ is said to be linear in the $i$th variable if, given fixed vectors $v_j$ for $j \ne i$, the function $T : V \to \mathbb{R}$ defined by $$T(v) = f(v_1, \cdots, v_{i-1}, v, v_{i+1}, \cdots, v_k)$$ is linear. The function $f$ is said to be multilinear if it is linear in the $i$th variable for each $i$. Such a function $f$ is also called a $k$-tensor, or a tensor of order $k$, on $V$.
This is the definition of tensors.
I heard that tensors are a generalization of scalars, vectors, and matrices. But tensors don't look like scalars, vectors, and matrices at all.
For example, please show me a tensor which corresponds to a matrix.