8. Find the determinant of the following matrices using a minimal cofactor expansion. Do not manipulate...
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 /
Compute the determinant of the following matrix using a cofactor expansion across the first row. 6 2 - 2 A= 50 35 4 0 N Compute the determinant using a cofactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) OA. Using this expansion, the determinant is (6)(-30) - (2)(2)+(-2)(25)= OB. Using this expansion, the determinant is (6)(-30)+(5)(2)+(3)(25) = OC. Using this expansion, the determinant is...
(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
a)Use row reduction and/or cofactor expansion to calculate the
determinant of
c) Calculate the following determinants, using your answer to
part a
det(A^−1 ) det(2A) det(A^2 ) det(A^T A)
3 3 3 -1 2 2 A= 1 9 6 2 2 2 4 2
3 seperate questions multiple choice
Evaluate the determinant by using a cofactor expansion along any row or column. -5 5 -5 3 0-1 2-2 0 3 0 0 0 -3 4 1 0 150 0-150 0-30 Find the eigenvalues of the given matrix. 2 3 O 1, 2 O 1, -2 -2 1 1 Row reduce the matrix to obtain a row equivalent matrix. 4 -2 31 -3 -11 9-5 1-2 3 4 3 [1 4 -2 3 0 1...
EXERCISE 5.2 1. Evaluate the following determinants: 2. Determine the signs to be attached to the relevant minors in order to get the following cofactors of a determinant: (C13l, IC23i, (C3sl. Canl, and Cu). 6. Find the minors and cofactors of the third row, given EXERCISE 5.3 4. Test whether the following matrices are nonsingular: EXERCISE 5.4 4. Find the inverse of each of the following matrices: 6. Solve the system Ax=d by matrix inversion, where EXERCISE 5.5 1. Use Cramer's rule to solve the following equation systems: 3. Use Cramer's...
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...
1. LetA-Lind the follwing a) lA 2. Use expansion by cofactors to find the determinant of the matrix. A 4 or column that you are expanding.) 5 0(In your solution, state the row -3 6-4 3. Let u (1,-2,4,-5), (8,-10, -2,3) and w (1,0,8,0). Find the following a.) 6u 4. If possible, write vas a linear combination of ul, u2 and ug. ii! = (4,3,-2) , iz (8,6,1), u,-(-4,5,12), U = (4,-13,-17) 5. Let Wbe the set of all 3...
Solve the Following 3x3 system of linear equations using
Cramer's Rule. Use the expansion by
minors method to evaluate the determinants. Find the
solution ordered triple and check. Show Work:
3x-2y+z=12
x+3y-2z=-9
2x-4y-3z=-4
[EXPAND ALONG ROW 1] "|" is just me manually making rows to show
expansion steps
x= |_______| = |________|______|_____|______|_____|=
________=_____=
y= |_______| = |________|______|_____|______|_____|=
________=_____=
z= |_______| = |________|______|_____|______|_____|=
________=_____=
ordered triple: {(__,__)}
Include checks on x,y,z
sorry i tried uploading picture of problem but it...
Find the area of the parallelogram with the following vertices: 11. (-2, 3), (5, 8), (3, 3), and (0, 8) 12. (-2, 7), (-4, 4), (-11, 4), and (-9, 7)