Let A be an nxn matrix. Determine whether the statement below is true or false. Justify the answer. If det A is zero, then two rows or two columns are the same, or a row or a column is zero. Choose the correct answer below. O A. The statement is false. The determinant depends on the columns of A. It is possible for two rows to be the same and for the determinant to be nonzero О в. The statement is false, If A = 2 6 then det A = 0 and the rows and columns are all distinct and not full of zeros. 1. 3 O c. The statement is true. If det A is zero, then the columns of A are linearly independent. If one column is zero, or two columns are the same, then the columns are linearly dependent. OD. 2 3 The statement is true. If A = and B = then det A = 0 and det B = 0. 2 3 0 0

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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.