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2331_hw3_key - Homework is graded out of 45 5=50points Math...

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1 Math 2331- HW 3 Key Problem : (3 points each) Let 1 2 5 0 , . 3 4 0 2 A B = = 1 2 5 0 3 4 2 2 3 4 0 2 6 6 A B - - = - = 1 2 5 0 5 4 3 4 0 2 15 6 AB   = =     5 0 1 2 5 10 0 2 3 4 6 8 BA   = =     1 4 2 4 2 2 1 1 1 3 1 3 1 3/ 2 1/ 2 1 4 2 3 2 A - - - - = = = - - - - - 1 2 0 2 0 1/ 5 0 1 1 0 5 0 5 0 1/ 2 5 2 0 10 B - = = = - OR: Since B is a diagonal matrix, you can say: 1 1/ 5 0 0 1/ 2 B - = directly using the formula for finding the inverse of a diagonal matrix. Homework is graded out of 45+5=50points. (5 points to everyone for turning in hw.)
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2 2.4.1: (5 points – 1 point each) BA: defined, (5x3)(3x5)=5x5 AB: defined, (3x5)(5x3)=3x3 ABD: defined, 3x1 DBA: not defined A(B+C): not defined 2.4.6: (not graded)
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