Matrices

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Matrix multiplication product

Find the Product 3 -7 0 -4 1 4 5 -3 -1 5 MY Answer is this is undefined. Please correct and explain if incorrect. Find the Product 3 -1 2 -1 3 0 4 0 -2 4 2 1

Matrix Function Solved

Matrix problem attached Given A= 3 -2 0 1 4 2 -1 5 -3

Gaussian Elimination

Solve the system of equations by the Gaussian elimination method. Which of the following is NOT a matrix leading to the solution?

QUESTION: Solve the system of equations by the Gaussian elimination method. 2x + y –3z =1 3x - y + 4z =6 x + 2y - z =9 My response: Please explain if I am wrong. I have several more to do. 2 1 -3 1 3 -1 4 6 1 2 -1 9

Process of Gaussian Elimination

X+Y+2z=6 3X+2Y+Z=9 X-Y=4 Use the system in above. Without interchanging any of the rows in the augmented matrix, what is the first value, which will be replaced with zero when using the Gaussian Elimination method?

Augmented Matrix

Write the augmented matrix for the given system:

Matrices

DAY 1. Multiply the three matrices together in order (A*B*C) to get a fourth matrix 'D'. What is the fourth matrix? DAY 2. Multiply the fourth matrix by the scalar 6 to get a fifth matrix E. DAY 3. Add the fifth matrix to a matrix whose elements are all "2"'s to get a sixth matrix F. What is the sixth matrix? DAY 4.

Matrix Theory

Show that each matrix type is normal. 1. Hermitian 2. skew-Hermitian 3. unitary 4. symmetric 5. skew-symmetric 6. orthogonal

Matrix Theory Normal Functions

Prove that A is normal if and only if A-A^* and A+A^* commute.

Matrix Theory Orthogonal Functions

Show that Null (A) and Im(A) are not orthogonal. (see Matrix in attached file)

Stiffness matrix for mass spring system

Please see attached file. How do i equate the mass spring system? B2 The spring-mass system shown in Figure B2 is in tension, where the spring stiffnesses of the nth spring are denoted by kn , l is the separation of the supporting walls and m is the mass held between each spring (a) Show, by equating the tension in each s

Matrix Theory

Prove that for in H, Thus, N is a homomorphism from onto the positive real numbers. See attached file for full problem description.

Matrix Theory/ Isometries

Fix in Consider the real linear map given by (a) With respect to the basis B = {1, i, j, k}, find the associated matrix for . (b) Find the associated matrix A (sub alpha bar) for M (sub alpha bar). Compare with (a). (c) Compute det(A sub alpha) and det (A sub alpha bar). Interpret. See attached file for ful