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# M 340L - M340L Matrices and Matrix Calculations Unique...

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M340L: Matrices and Matrix Calculations Unique Number: 57160 Practice Final , April, 2006 I don’t know how much of chapter 6 will be studied by the end of next week. This already gives an idea of what might be the main part of your final, but expect a problem on chapter 6. Before the final exam I’ll add another Practice Final. For the Final I may feel free to assign a problem without offering a very close one in the practice final, in particular some homework style problems. I’ll post the solutions during the week-end. I. Let A = 1 3 2 1 1 0 1 1 0 - 1 - 1 0 1 2 1 0 1 1 2 3 1 2 2 3 . 1) What is the domain of A ? What is the co-domain of A ? (3points) 2) Give an echelon form for A . Give the reduced echelon form of A . 3) Is the mapping T : x 7→ A x one-to-one? Is it onto? (Justify your answers, Yes or No is not acceptable) 4) Without further calculation give the Rank of A and the dimension of the null space of A . (Justify your answers.) 5) Determine a basis for the column space of A .

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M 340L - M340L Matrices and Matrix Calculations Unique...

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