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Problem #8: Which of the following statements are always true? [2 n1arks] 5 O 1 (i) O 1 O is an elementary matrix. 0 O

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Problem #8: Which of the following statements are always true? [2 n1arks] 5 O 1 (i) O 1 O is an elementary matrix. 0 O 1 (ii) If E1 and E2 are elementary matrices then the matrix E1 + E2 is also an elementary matrix. (iii) If E is an elementary matrix then the reduced row-echelon form of E is the identity. (A) (i) and (ii) only (B) all of them (C) (ii) and (iii) only (D) (i) only (E) none of them (F) (ii) only (G) (i) and (iii) only (H) (iii) only Problem #8: Save Problem #9: Let [2 n1arks] 180 a A=010 1 045 where a is a nonzero number. Let B = A71. Find Z732. i.e., nd the entry in row 3, column 2 of A'1 (A) 32 (B)16a (C) 32a (D)16a (E) 5250 (F) 32a (G)8 (H)32 (I)8 Problem #9

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