5. Create a 4 x 4 matrix , called A, of randonm integers between 1 and 10. 1. find the transpose of A 2. find the trace of A 3. find the inverse of A
5. Create a 4 x 4 matrix , called A, of randonm integers between 1 and 10. 1. find the transpose of A 2. find the trace of A 3. find the inverse of A
Find the following matrix product, if it exists. 3 - 4 -2 -1 4 3 -5 4 - 2 0 -2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 3 - 4 - 2 - 1 4 O A. 1 3 - (Simplify your answer.) -5 4 - 2 0 - 2 B. The product does not exist.
Matrices multiplication and Partitioned multiplication: matrix X= 2 1 5 4 2 3 Matrix Y= 1 2 4 2 3 1 1. Find the XY^(T) T means transpose 2.Compute the outer product expansion of XY^(T) . 3. did you get the same answer from 1 and 2?
1) a) If A is a 4×5 matrix and B is a 5×2 matrix, then size of AB is: b) If C is a 3×4 matrix and size of DC is 2×4 matrix , then size of D is: c) True or False: If A and B are both 3 × 3 then AB = BA d) The 2 × 2 identity matrix is: I = e) Shade the region 3x + 2y > 6. f) Write the augmented matrix...
2. (a) Find a 2 x 2 matrix A such that AP + 12 = 0. (b) Show that there is no 5 x 5 matrix B such that B2 + 15 = 0. (c) Let C be any n xn matrix such that C2 + In 0. Let l be any eigenvalue of C. Show that 12 Conclude that C has no real eigenvalues. [1] [3] =-1. [3]
4 (1) Find a matrix A „such that (A - 41)-1 3 1 (2) Let A be 3x3 matrix with 4 = 4 Find : (a) det(( 3 A)?(2 A)-') (b) det( 2 A-' + 3 adj (A)) (3)Find the values of a that makes the system has (a) unique solution (b) No Solution. 3 A 7 (4)Find the rank of a matrix 17 0 1 2 (5)Suppose that I : R3 → R2 „such that 2 T (e.) =...
2) Let B = {(1, 3, 4), (2,-5,2), (-4,2-6)) and B/-(( 1, 2,-2), (4, 1,-4), (-2, 5, 8)) be 5 ordered bases of R2. Let x = | 8 | in the standard basis of R2. a) Use a matrix and x to find L18 ]B. b) Use a matrix and [X]B to find [x)B/. c) Use a matrix and [X]B/ to find x in the standard basis of R2, d) Draw a diagram of the steps a), b), and...
4 0 2 7) Find the eigenvalues of the matrix A= 1-2 3-4 0 0 - Clearly show your work. (15 points) 3
points 5. Find the inverse of the following matrix: 10 -1] -4 1 3 2 0 3 | 1
7. (15 pts) For the matrix A= -3 1 2 3 6 -2 - 4 -9 -1 1-7 2 3 -1 5 8 - 4 4 9 0 a) Use your calculator to place the matrix in RREF. b) Find a basis for the Range(A). c) Find a basis for Nul(A).