Consider the following matrix: a C A a, b, c, d, e, f ,g, h, i are real numbers Statement I: If a = b= c and g = h = i, then A-1 exists regardless of the values of d, e, f Statement II: If we modify the matrix by multiplying each of the entries a,b,c by 3 and multiplying each of the entries g,h,i by 3, then the determinant of the matrix becomes multiplied by 6. Statement Ill: If a = e = i = 2 and A is an upper triangular matrix, then the determinant of A is 6 regardless of the values of the other entries State whether each statement is True/False. For statements I and II, explain your answer [Maximum 50 words]. For Statement III, if the statement is false, then simply write the correct determinant of A into the text box; there is no need for further explanation. Font family Font size Paragraph $B