20.-/7 points larlinalg8 7.3.058. consider the following matrix -1 0-1 0 1 0 1 01 0 a1 0 1 0-1 0-1 01 0 1 01 0 1 use this list of theorems to answer the following s (a) is a symmetric? explain o yes, because a a yes, because a # a o no, because a a. no, because a #a'. (b) is a diagonalizable? explain. (select all that apply.) yes, by the real spectral theorem yes, by the property of symmetric matrices yes, by the fundamental theorem of symmetric matrices no, by the real spectral theorem no, by the property of symmetric matrices o no, by the fundamental theorem of symmetric matrices (c) are the eigenvalues of a real? explain. (select all that apply.) yes, by the real spectral theorem yes, by the property of symmetric matrices yes, by the fundamental theorem of symmetric matrices no, by the real spectral theorem no, by the property of symmetric matrices o no, by the fundamental theorem of symmetric matrices