How do I verify that Problem #4 is true? I think that is what it is asking for. Also, this question and many other questions in this section are very much conceptual. Although, the math can be used to...

How do I verify that Problem #4 is true? I think that is what it is asking for. Also, this question and many other questions in this section are very much conceptual. Although, the math can be used to verify if each question is true. This specific problem is from a linear algebra textbook called
Linear Algebra w/ Applications
and the author is by Jeffrey Holt. Right now, I'm in Section 7.1, which consists of what makes a vector space a vector space. Ironically, the author mentioned something new with an R raised to a matrix, as well as a P raised to a number.  Nonetheless, I am most certainly not sure of how to answer the problem, but here are some pictures.

Extracted text: addition and scalar multiplication of functions. (Portions of this exercise are completed in Example 4.) 4. V = R"n, the set of real m x n matrices together with the usual definition of matrix addition and scalar multiplication. ey 97. tha by 5. V = P", the set of polynomials with real coefficients and degree no greater than n, together with the usual definition of polynomial addition and scalar multiplication. 1 the n of where