18) The sum of the elements of the eigenvector corresponding to the lowest value eigenvalue of matrix (VI) is:a. -1b. 0c. +1d. +2e. +3f. +4g. +5h. The elements of the eigenvector cannot satisfy criteria 120) The sum of the elements of the eigenvector corresponding to the highest value eigenvalue of matrix (VI) is:a. -1b. 0C. +1d. +2e. +3f. +48. +5h. The elements of the eigenvector cannot satisfy criteria 122) The sum of the elements of the eigenvectorcorresponding to the lowest value eigenvalue of matrix (VII) is:a. -1b. 0c. +1d. +2e. +3f. +4g. +5 h. The elements of the eigenvector cannot satisfy criteria 123) The sum of the elements of the eigenvector corresponding to the 2nd lowest value eigenvalue of matrix (VII) is:a. -1b. 0C. +1d. +2e. +3f. +4g. +5h. The elements of the eigenvector cannot satisfy criteria 1Please tell the correct options in it with solution i need all please do it clearly24) The sum of the elements of the eigenvectorcorresponding to the highest value eigenvalue of matrix (VII) is:a. -1b. 0C. +1d. +2e. +3f. +48. +5h. The elements of the eigenvector cannot satisfy criteria 1 LOWELLHomework # 6 Due Wednesday 3/2/2022Find the eigenvalues and the eigenvectors of the following 7 matrices.[2 01 0 2012(V)3.(II)(VI)3 0(III)0.1(VII)1av)-231You are going to be asked to find the sum of the eigenvalues of these matrices. Because theeigenvalues are fixed numbers, the results are unambiguous.In addition, you are going to be asked to find the sum of the elements of the eigenvectors.However, because any non-zero multiple of a valid eigenvector is also a valid eigenvector, youmust use the eigen vector that satisfies the following criteria:1) If possible, use an eigenvector that has all integer elements áf it is not possible, you willmake that choice from the multiple choice list).2) If the first requirement can be satisfied, the non-zero elements should have no commoninteger factors (other than +1 or -1) and the non-zero element with the smallest absolutevalue must be positive.As in previous homework assignments, these sums have no mathematical significance. You arefinding them in order to demonstrate that you actually did the assignment.

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Since you have posted a multiple question according to guildlines I will solve first question for…