A is an nxn matrix. Determine whether the statement below is true or false. Justify the answer. If Ax = Ax for some scalar , then x is an eigenvector of A. Choose the correct answer below. O A. The statement is true. If Ax = Ax for some scalar A, then x is an eigenvector of A because A is an inverse of A O B. The statement is false. The condition that Ax = Ax for some scalar A is not sufficient to determine if x is an eigenvector of A. The vector be nonzero. must O C. The statement is true. If Ax = Ax for some scalar A, then x is an eigenvector of A because the only solution to this equation is the trivial solution. O D. The statement is false. The equation Ax = Ax is not used to determine eigenvectors. If AAx = 0 for some scalar 2, then x is an eigenvector of A.

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.