Assignment #4

Assignment #4 - Stephanie Campbell due at 11:59pm EDT...

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Stephanie Campbell Assignment 4 MATH133, Fall 2009 due 10/13/2010 at 11:59pm EDT. You may attempt any problem an unlimited number of times. 1. (1 pt) Find the determinant of the matrix B = 1 4 -2 -4 -1 -5 0 -3 0 . det ( B ) = . 2. (1 pt) Find the determinant of the matrix A = 4 0 0 0 -5 4 0 0 -5 6 -3 0 6 8 -7 -3 . det ( A ) = . 3. (1 pt) Find the determinant of the matrix M = -3 0 0 -2 -3 0 -2 0 0 2 0 -1 0 2 -2 0 . det ( M ) = . 4. (1 pt) Find the determinant of the matrix C = 0 -3 -2 3 0 0 -1 0 -2 2 1 -1 0 -3 3 1 . det ( C ) = . 5. (2 pts) Let A = 2 0 -3 1 3 0 -3 2 3 . Find the following: (a) det ( A ) = , (b) the matrix of cofactors C = , (c) adj ( A ) = , (d) A - 1 = . 6. (1 pt) If the determinant of a 5 × 5 matrix A is det ( A ) = 10, and the matrix B is obtained from A by multiplying the third row by 7, then det ( B ) = . 7. (1 pt) If the determinant of a 4 × 4 matrix A is det ( A ) = - 1, and the matrix C is obtained from A by swapping the first and second rows, then det ( C ) = .

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