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1. Short Answer Problems (No need to show your work for short answer prob- lems). (a) [2 marks] List 4 possible 2 x 3 matrices

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1. Short Answer Problems (No need to show your work for short answer prob- lems). (a) [2 marks] List 4 possible 2 x 3 matrices that are in RREF.(b) [1 mark] State the 3 x 3 elementary matrix associated with the elemen- tary row operation (R1 - -2R3 + R1)2 3 -4 4 0 -2 -3 1 (c) [1 mark] Find the determinant of A = 0 0 1 C O 0 0 -5(d) [2 marks] Let A E Mmxn (F) be a square matrix and let TA be the linear transformation determined by the matrix A. Which of the following statements that are equivalent to the statement: "A is invertible"? [Check all that apply] TA is one-to-one. O TA is onto. Null(A) = 0 nullity (A) = 0. Rank(A) = n. RREF(A) = In.\f\f

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