Use a sequence of elementary row operations to reduce the matrix to an echelon form U...
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Use a sequence of elementary row operations to reduce the matrix to an echelon form U from which the determinant can easily be found as the product of the diagonal entries of U. Your submission should show A, give the elementary matrices for the operations you used to obtain the echelon form U. Give the determinant of A found from matrix U. 1 2 3 4 2 3 40 A = 340 1 4 0 1 2 Helpful MatLab notes: >>E=eye(4);E(2,:)=E(2.:)-2*E(1,:) produces an identity matrix E and then replaces its row 2 with (row 2-row 1). Run it in Matlab to see. >>diag(A) returns the vector whose entries are the main diagonal of A >>prod(diag(A)) returns the product of the main diagonal entries of A. Use a sequence of elementary row operations to reduce the matrix to an echelon form U from which the determinant can easily be found as the product of the diagonal entries of U. Your submission should show A, give the elementary matrices for the operations you used to obtain the echelon form U. Give the determinant of A found from matrix U. 1 2 3 4 2 3 40 A = 340 1 4 0 1 2 Helpful MatLab notes: >>E=eye(4);E(2,:)=E(2.:)-2*E(1,:) produces an identity matrix E and then replaces its row 2 with (row 2-row 1). Run it in Matlab to see. >>diag(A) returns the vector whose entries are the main diagonal of A >>prod(diag(A)) returns the product of the main diagonal entries of A.
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