-2 1 -¤-B and B = 4 2 A = E₁ = Given the following descriptions, determine the following elementary matrices and their inverses. a. The elementary matrix ₁ multiplies the first row of A by 1/5. E₂ = E3 = 1 3 1 b. The elementary matrix 2 multiplies the second row of A by -6. E₁ = 1 -1 -5 -2 5 4 E = E c. The elementary matrix 3 switches the first and second rows of A. E6 = E₂ -1 E d. The elementary matrix Е adds 6 times the first row of A to the second row of A. -1 E₁ -1 e. The elementary matrix multiplies the second row of B by 1/6. = f. The elementary matrix E multiplies the third row of B by -5. E¹ ‚E ¹

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