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CSCI 2033 (Sec 010) Quiz 2 Nick Karlovich TOTAL POINTS 9 / 10 QUESTION 1 1 Q1 5 / 5 + 0 pts Unattempted ✓ + 2 pts Attempted ✓ + 3 pts Correct rref form - [ 1 0 0; 0 1 0; 0 0 1 ] Augmented matrix with left part equal to above is OK. Partial credit - 1.5 for identifying pivots in each column if rref form is wrong. QUESTION 2 2 Q2 4 / 5 + 0 pts Incomplete ✓ + 1 pts Row ops to make 2nd, 3rd row elems in 1st column 0 (row swaps are optional and ok) Example ops: R2 -> R2 - 2*R1, R3 -> R3 -> R3 - 3*R1 ✓ + 1 pts Row ops to make 3rd row elem in 3rd column 0 Eg: scale R2, R3 -> R3 - 3*R2 ✓ + 1 pts Row ops to make 1st, 2nd row elems in 5th column 0 Eg: scale R3, R1 -> R1 - 2R3, R2 -> R2 - 3R3 ✓ + 1 pts Row ops to make 1st row elem in 3rd column 0 Eg: R1 -> R1 + 3R2 + 1 pts Correct result wo any arithmetic errors 1. All pivots should be 1, all elems in columns with pivot 0 2. Can have more than one possible form depending on specific order of row operations Eg: [ 1 2 0 7 0; 0 0 1 2 0; 0 0 0 0 1 ] Arithmetic error in the last step of multiplying R2 * 3R1 results in a 1 being in row 1 column 4, rather than a 7. Page 1

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