3 seperate questions multiple choice
Determine which of the following matrices are in RREF. ſi 0 0 27 i) 0 2 0 3 0 1 1 4 ſi 0 1 0] i) 0 1 1 0 0 0 0 1 [1 0 -1 2 ii) 0 1 07 0 o [1 0 0 2 iv) 0 1 0 1 0 0 1 0 0 0 1 iv only ii and iii ii and iv i and ii For the given...
0 ſi 1 19. (5 points) Find the eigenvalues and eigenvectors of A= 0 2 2 Lo 03 1 0 20. (5 points) Show that A= 0 2 2 is diagonalizable by finding P and D such that p-1AP = D for [003] a diagonal D.
Find the eigenvalues and eigenvetors of the following matrices. Show all your work. T2 5 1 1. A=10-1 61, 2 161 1 -4 2, A=
QUESTION #4b (5 Points) Find the C23 of the product of two matrices A x B = C II 4 - 3 3 -1 0 -2 5 B II 3 2 -2] 0 -1 4 -3 - A.6 B. 2 c. 0 D. 2
two seperate questions multiple choice
Determine which of the following matrices are in RREF. ſi 0 -1 0 ſi 0 0 27 in) 0 1 2 0 [1 0 1 0] ii) 0 1 1 0 0 0 0 1 ſi 0 0 2 iv) 0 1 0 1 0 0 1 0 i) 02 03 0 0 1 0 0 14 iv only ii and iii ii and iv i and ii For the given matrix and eigenvalue, find...
Find each of the matrices or explain why it is not defined: A+B; BA; AB, if А ſi 4 02 7] ſo 1 11 B = 1 -1 2 2 3 0
Question 1 [10 points] Given the following matrices A and B, find an elementary matrix E such that B- EA You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrbx. 4 6-6 0 7 0 5-2 -4 -7 1-10 -4 6-6 0 4 -4 9-3 4 -4 9-3 o 0 0 E- 0 0 0
3. (5 points) Find a basis for all "skew-symmetric matrices. For your reference, if AT = -A, then we call A a skew-symmetric matrix. And in this question, only consider A as 3 x 3 matrix.
1. [10 points] Find the inverse for the following matrices or label as singular if not invertible a. 3 6 1 0 1 0
Linear Algebra:Question 5 [10 points] If A, B, and C are 4×4
matrices; and det(A) = 4, det(B) = −5, and det(C) = −4 then
compute:
Question 5 [10 points] If A, B, and C are 4x4 matrices; and det(A) = 4, det(B) = -5, and det(C)=-4 then compute: det(2CT A-18-10-1BICI) = 0