Suppose that: A =[-4 2 -3 3] and B = [-5 -1 5 5 -1 4 -2 -2 -1] Given the following descriptions, determine the following elementary matrices and their inverses. {View Image}

Question

Question

a. The elementary matrix $E_{1}$ multiplies the first row of A by 1/6.

b. The elementary matrix $E_{2}$ multiplies the second row of A by -4.

c. The elementary matrix $E_{3}$ switches the first and second rows of A.

d. The elementary matrix $E_{4}$ adds 6 times the first row of A to the second row of A.

e. The elementary matrix $E_{5}$ multiplies the second row of B by 1/3.

f. The elementary matrix $E_{6}$ multiplies the third row of B by -4.

g. The elementary matrix $E_{7}$ switches the first and third rows of B.

h. The elementary matrix $E_{8}$ adds 3 times the third row of B to the second row of B.

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Answer 1

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