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Compute the determinant of the matrix by cofactor expansion 3 2 5 1 1 4 3 3 4 O A. 110 O B. -56 C. ?D.-8
1. Use the cofactor expansion formula to calculate the determinant of the following matrix. 1-2 5 2 0 0 0 2 -6 -7 5 5 0 4 4 درا
5. (10 points) Find the determinant of the given matrix A by using cofactor expansion. Then find the determinant of A. 1 2 A= | -2 3 3 -5 5 1 7 0 /
1 2 3 4. (10 pts) Evaluate the determinant of 2 5 3 by (a) cofactor expansion about 1 0 8 column 1 and (b) cofactor expansion about row 3.
Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special formula for 3 x 3 determinants. [Note: Finding the characteristic polynomial of a 3 x 3 matrix is not easy to do with just row operations, because the variable is involved.] 4 0 | 4 8 1 -2 2 0 -3 The characteristic polynomial is (Type an expression using , as the variable.) Find the characteristic polynomial of the matrix, using either a cofactor expansion...
Question 3 Consider the matrix A. (rowt:10, 2, -1];row2 2,3,-2): row:(-1, -2,01). 1. Show that V2-vector column [-2. 1. Oj is an eigenvector for A and find its corresponding eigenvalue L1. 2. Diagonalizable A given that its characteristic polynomial is P(L) = -_LA3) + 3"(L^2)+ 9*L+5.
These are linear algebra problems.
1 4 1 1 2 7 2 2 Let A 1 4 .. 1 2 find Its Inverse. Decide whether the matrix A is invertible, and if so, use the adjoint method Enter as a matrix, exactly in fractional from if required, if not invertible enter "NA" A-1 la b -2a -2b -2c d e f d = -2,find Given that g hi g-3d h-3e -3f -2a -2b -2c d f g 3d h 3e...
5.3.17 Find the cofactor of each element in the second row. - 2 6 3 1 51 -3 16 The cofactor of 1 is Enter your answer in the answer box and then click Check Answer parts remaining to search
Given that A is the matrix 5-3 1 1-5 7 6 3 –77 -4 -5] The cofactor expansion of the determinant of A along column 1 is: det(A) = a1 · |A1| + a2 · |A2| + az · |A3|, where a1 = num @ az = numi @ a3 = num @ and A2 = Thus det(A) = num
(12 points) Evaluate the determinant of the matrix D using cofactor expansion down the second column, then find det(3D) and det((2D)-1). D = [ 1 -5 301 3 0 4 3 -1 0 -3 0 I 3 8 6 2