Question: -5 4 2 A = and B = 4 1 -4 2 Given the following descriptions, determine the following elementary matrices and their inverses. a.

-5 4 2 A = and B = 4 1 -4 2 Given the following descriptions, determine the following elementary matrices and their inverses. a. The elementary matrix E1 multiplies the first row of A by 1/3. E1 = b. The elementary matrix Ez multiplies the second row of A by -2. E2 E2 C. The elementary matrix Es switches the first and second rows of A. E3 = E3 d. The elementary matrix E4 adds 3 times the first row of A to the second row of A. EA = e. The elementary matrix Es multiplies the second row of B by 1/3. Es = f. The elementary matrix Es multiplies the third row of B by -5. E6 =g. The elementary matrix E7 switches the first and third rows of B. = E = h. The elementary matrix E: adds 4 times the third row of B to the second row of B. Es =

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