### Determinants, Transposes and Row Reduction

(a b c) (k 2(a-k) p+k) Given det (k l m) = d find det ( l 2(b-l) q+l) (p q r) (m 2(c-m) r+m) Please see the attached file for the fully formatted problem.

Explore BrainMass

- Anthropology
- Art, Music, and Creative Writing
- Biology
- Business
- Chemistry
- Computer Science
- Drama, Film, and Mass Communication
- Earth Sciences
- Economics
- Education
- Engineering
- English Language and Literature
- Gender Studies
- Health Sciences
- History
- International Development
- Languages
- Law
- Mathematics
- Philosophy
- Physics
- Political Science
- Psychology
- Religious Studies
- Social Work
- Sociology
- Statistics

(a b c) (k 2(a-k) p+k) Given det (k l m) = d find det ( l 2(b-l) q+l) (p q r) (m 2(c-m) r+m) Please see the attached file for the fully formatted problem.

(1) Let A = (see attachment), the nxn matrix with all entries equal to 1 expect diagonal entries, which are equal to 0. Find the determinant . (2) For the above matrix A, find the inverse. Please see attachment for complete questions.

The solution X for the matrix equation X-AX=D is: _____

Prove that addition modulo n, written +n is: 1) associative 2)comutative there are two ways to prove these properties. each way requires a definition or two: 1) for n≥2, 0≤a, b≤n+1 a+n(written as a power in a corner downside, but dont know how to put it tho) b={condition 1 - a+b if a+b<n;condition 2 - a

Q1. Suppose An is the n by n tridiagonal matrix with 1's everywhere on the three diagonals... Let Dn be the determinant of An; we want to find it. (a) Expand in cofactors along the first row of An to show that Dn = Dn-1 - Dn-2 (b) Starting from D1 = 1 and D2 = 0 find D3, D4, ..., D8. By noticing how these numbers cycle a

If Q is an orthogonal matrix, so that QTQ = I, prove that det Q equals +1 or -1. What kind of parallelepiped is formed from the rows (or columns) of an orthogonal matrix Q?

X + 2y + z = 0 -3x + 3y + 2z = -7 4x - 2y - 3z = 2

Given A = 1 3 -2 6 Find A^-1, the inverse of A Please show ALL work, thank you!

Given A = 1 3 2 Find A^T

Given r = -3 A = 1 3 2 -1 Find rA

Please show ALL work including answer..Thank you! Given A= 1 -3 -3 4 Given B = 2 -3 2 3 -1 -2 Given C = 0 1 2 1 3 -2 Find AB + AC

Given A = 1 2 -2 3 4 5 B = 2 0 1 3 -2 5 C = -4 -6 1 2 3 0 a.) Find A+B and B+A b.) Find A+B+C

1. In real-world situations, what is the advantage of using the Method of Substitution to solve a system of equations rather than using the Method of Addition? 2. When solving a 3x3 determinant, we broke the determinant down into a sequence of 2x2 determinants, remembering to alternate the signs of the leading coefficients in

Please show every step no matter how minor, use the brackets for each reduction and write out every equation change. Please leave no details out. Thanks! 1) Find the general solutions of the systems whose augmented matricies are given in a) and b). What is a general solution? a)1 -2 -1 3 3 -6 -2 2 b) 1 2 -5 -

65. A father, when dying, gave to his sons 30 barrels, of which 10 were full of wine, 10 were half full, and the last 10 were empty. Divide the wine and flasks so that there will be equal division among the three sons of both wine and barrels. Find all the solutions of the problem. (from Alcuin) 4, 5 Find all solutions of the

Questions: a) How many multiplications are necessary to find the determinants of matrices which are 2x2, 3x3, 4x4? b) The number of multiplications for an nxn matrix may be found in terms of the number for an (n-1)x(n-1) matrix. FIND THIS FORMULA and use it to obtain the number of multiplications for a 10x10 matrix. c) Fo

The number of multiplications for an n X n matrix may be found in terms of the number for an (n-1) X (n-1) matrix. Find this formula and use it to obtain the number of multiplications for a 10 X 10 matrix

Show that the null space of A^A coincide with the null space of A. What is the range?

Solve the system attached. Give your solution in real form. -9 3 -30 9 with 2 1

Solve the system with the initial value... see attached. Solve the system -20 5 -20 5 with the initial value 0 -6

Please solve the attached matrix system. Solve the system -20 5 -20 5 with the initial value 0 -6

Please explain the attached solution

See attachment

Please see the attached file for the fully formatted problems. LET H = a b -b a : a,b is an element of C (complex numbers) Is (H, +, .) a field? If not, give reasons.

The vectors v= -4 u = 3 and w= 4 -15 9 12 26 -15 + k -20 are linearly independent if and only if k does not equal ____?

Please see the attached file for the fully formatted problems. Let A = [ -5, 6, -19] B= [-1, 2, -3] and C= [-2, 2, -8] Determine whether or not the three vectors listed above are linearly independent or linearly dependent. **they are linearly independent*** The vectors were written horizontally this time, as they ofte

A=1 -1 1 0 -2 1 -2 -3 0

A=2 -1 B=1 -2 -5 C=3 1 1 0 3 4 0 -1 0 -3 4 2 4 A. AB B. 2C-3A