Answer
See explanations.
Work Step by Step
(a) We can evaluate the value of a determinant by using the cofactors of any row or column, in the case that a matrix with a row or column consisting entirely of zeros, each cofactor will be zero and the results will be zero.
(b) If a matrix with two rows the same or two columns the same, we can do an operation to take the difference (with a result of all zeros) between the same row or columns and replace the original row or column. Based on the conclusion from part (a), the determinant will be zero.
(c) If a matrix in which one row is a multiple of another row, or one column is a multiple of another column, we can do an operation to take the difference of one row (or column) and the multiple of another row (or column) and replace the original row (or column) with all zeros. Based on the conclusion from part (a), the determinant will be zero.
