In Exercises 1-6, use elementary column operations to create zeros in the last two entries in...
6. Find the determinant of the following matrix using elementary row operations. (Turn the elements above the main diagonal into zeros to have the least amount of calculations.) (10 points) -1 -9 0 -2 -4 -2 -2 4 3 -1 -1 4 3 2 1
In MATLAB: Without using a function, create a 6 by 6 matrix containing zeros in all entries except for the first row, first column, and main diagonal (which are random integers between 10 and 100).
(2) Evaluate the following determinants. You may want to use elementary row and/or column operations to reduce the matrix to a simpler form first. 1-1 (a) 1 | 3 -1 2 (b) 1 0 4 -11 1 1 ; 4 2 2 0 5 2 3 0 -1 0 -2 -2 1 -11 (1 2
Use elementary row operations to reduce the given matrix to row echelon form and reduced row echelon form. Please note when it hits REF and RREF. Thank you! 6. + 0/2 points Previous Answers PooleLinAlg4 2.2.014. Use elementary row operations to reduce the given matrix to row echelon form and reduced row echelon form. [-2 -4 11 | -5 -10 26 Li 2 -5] (a) row echelon form 2 1 -1172 -3/40 0 1 (b) reduced row echelon form 0...
3. Let A 2 -30 1 0 -2 2 0 (i) Compute the determinant of A using the cofactor expansion technique along (a) row 1 and (b) column 3. (ii) In trying to find the inverse of A, applying four elementary row operations reduces the aug- mented matrix [A1] to -2 0 0 0 0 -2 2 1 3 0 1 0 1 0 -2 Continue with row reductions to obtain the augmented matrix [1|A-') and thus give the in-...
Determine which property of determinants the equation illustrates. 1 3 2 0 0 0 96 -8 = 0 If one row of a matrix is a multiple of another row, then the determinant of the matrix is zero. If one row of a matrix consists entirely of zeros, then the determinant of the matrix is zero. If two columns of a matrix are interchanged, then the determinant of the matrix changes sign. If a row of a matrix is multiplied...
In Matlab explain how MMAIDAB gou that ansWer! 8. Perform row operations: The three elementary row operations can be performed in MATLAB using the following commands Type 1: ACEi, j] , Đ#A ( [j, i] , Đ interchanges row i and row j Type 11: A(i, :)#0#A(i, :) multiplies row i bya Type III: A(i,:)-A(i, :)+ a*A(j,:) multiplies row j by a and adds it to row i Enter the following matrix: 12 -9 34 Perform row operations in MATLAB...
6. (5 points) Suppose the elementary matrix E is of this form (a) Compute the matrix multiplication EB (b) Compute the determinant of EB using the cofactor expansion along the 1st row of the matrix, and show that the determinant is equal to -det(B) (MUST use the cofactor expansion, no points will be given for other meth- ods.) Hint: Same, don't expand everything out, you will be drown in a sea of bij, you should look at the cofactor expansion...
A3 (use Find span of A1, A2, elementary row operations) 1 1 4. = [ 13.43=[1] A =6
Determinants and linear transformations 4. (a) Let A be the matrix 1 -2 4 1 3 2 11 i) Calculate the determinant of A using cofactor expansion of row 3. (ii) Is A invertible? If so, give the third column of A1 (you do not have to simplify any fractions) (b) Let B be the matrix 0 0 4 0 2 8 0 4 2 1 0 0 0 7 Use row operations to find the determinant of B. Make...