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Assignment #6

Assignment #6 - Stephanie Campbell due at 10:59pm EST...

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Stephanie Campbell Assignment 6 MATH133, Fall 2009 due 11/07/2010 at 10:59pm EST. You may attempt any problem an unlimited number of times. 1. (1 pt) Solve the system using elimination 2 x - 7 y = - 49 - 5 x + 7 y = 28 x = y = 2. (1 pt) Write the system - 2 y - 7 z = 11 2 x + 9 y = - 4 - 6 x + 10 y + 4 z = 3 in matrix form. x y z = 3. (1 pt) Given the augmented matrix A , perform each row operation in order, (a) followed by (b) followed by (c). A = 1 -1 -1 -5 3 -2 5 -5 -4 0 4 6 ( a ) R 2 = - 3 r 1 + r 2 ( b ) R 3 = 4 r 1 + r 3 ( c ) R 3 = 4 r 2 + r 3 4. (1 pt) Reduce the matrix 1 3 -2 24 -4 -3 0 -28 -2 -2 1 -20 to reduced row-echelon form. 5. (1 pt) Find the ranks of the following matrices. rank 0 2 0 -1 0 9 = rank 4 -5 4 -5 = rank 5 1 -5 0 2 0 -4 0 4 = 6. (1 pt) Find the determinant of the matrix B = 4 5 4 2 5 -3 3 4 5 . det ( B ) = . 7. (1 pt) Find the determinant of the matrix A = 2 0 0 0 -7 5 0 0 -5 4 -2 0 1 3 -8 2 .

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Assignment #6 - Stephanie Campbell due at 10:59pm EST...

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