6. Find the minors and cofactors of the third row, given 9 11 4 A= 3 27 6 10 4 4. Find the inverse of each of the following matrices: 4 -2 1 100 (a) E = 7 3 0 (CG= 0 0 1 2 0 1 0 1 0 -1 2 100 (6) F= 03 (d) H= 0 1 0 4 02 0 0 1 1
Find the determinant of the matrix. Expand by cofactors [ 7-11 1-5 10 (a) Row 2 (b) Column 2 284 noints SOLICA
2. Determine the signs to be attached to the relevant minors in order to get the following cofactors of a determinant: 1613, C231, IC33, C411, and 1C34. 1 4. Test whether the following matrices are nonsingular: 4 0 7 -1 0 19 1 - 3 (0) 1 1 4 7 1 0 13 -3 -4 4 -21 -4 9 5 -S 6 0 (d) 3 0 1 7 0 3 10 8 6 II ob 12
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...
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...
3 6 9 04 7 9-18 2. Determine the signs to be attached to the relevant minors in order to get the following cofactors of a determinant: C131, C231, 1C33, C411, and 1C341.
a) IAI 2. Use expansion by cofactors to find the determinant of the matrix. A-4 5 0(ln your solution, state the row or column that you are expanding)
Linear Algebra. Question 11. Thanks for helping!
2 3 -2 -4 64 46 4 5 -4 9 2 -4 4 5 M-3 6 6 -4 Given -2 -4 491 & 11- Find basis for row space ofM, &M2 R(M)&R(M2) N(M)& N(M2) Find basis for Nullity ofM,&M, Show that R(M)&RM) are orthogonal N(M)&N(M;) Show that the column space of M, is the same as row space ofM Show that the column space of Mi Is orthogonal to Nullity ofM What is...
Let W Span((2,-3,0, 1), (4,-6,-2, 1), (6,-9,-2,2) R4. (a) Find a basis for W (b) Find a basis for W (c) Find an orthogonal basis for W and W (d) The union of these two orthogonal bases (put the basis for W and W what? Why is the union orthogonal? into one set) is an orthogonal basis for
Let W Span((2,-3,0, 1), (4,-6,-2, 1), (6,-9,-2,2) R4. (a) Find a basis for W (b) Find a basis for W (c) Find...
k110 9 +5=14 -4 n-3=-11 8 17-3 C) 10-8=-24 3 nd 9、 the (L) The quotient of a number and-7, decreased by 2, is 10. Find the number.