Use determinants to decide if the set of vectors is linearly independent... 6 4 4 0 10 - 12 -2 0 -6 0 3 0 2 6 0 -3 The determinant of the matrix whose columns are the given vectors is

Explain the difference between a square matrix and its determinant. Give an example of each.

The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six triple products. Show that the determinant of a 44 matrix involves 24 quadruple products.

Find the determinant of the matrix in Exercise 15 using the method of expansion by cofactors. Use a the second row and b the second column. 15. [321456231]

TEST Only one of the following matrix has an inverse. Find the determinant of each matrix, and use the determinant to identify the one that has an inverse. Then find the inverse. A=[141020101] B=[140020301]