3. In the diagonal sum AEB:=A 0) 10 B) of two square matrices Amxm and Bnxn,...
Problem 5. (a) Prove that for every ordered basis B = (61, ..., bn) of R”, there is a unique ordered basis B* = (1, ...,b*) of R™ such that 5.; = dij for all 1 Si, j <n.(Hint: think about matrix multiplication.] (b) Let E = (ēl, ..., ēn) be the standard basis of R”. Find E*. (c) Let B = (61, ..., 6n) be an ordered basis of R”, and let B* = (1, ...,5%) be as in...
Matlab answer only Form 1 6) [10 pts] Consider the following two matrices B=[S A 3 1 5 -7 4 6-3] a) Obtain the sum of each row of matrix A. b) Use the size function to create a magic matrix P which has the same size as matrix A. c) Create a matrix called Q from the second column of matrix A d) Extract the four numbers in the lower left-hand corner of matrix A and create matrix R....
13 please 8. b. -2 3 0 0 0 0 -1 2 0 0-4 0 3 0-2 0 3 0 0 -2 0 3 0 4 o0-1 6 0 0 1 o 2 6 0 0 -1 6 10. For any positive integer k, prove that det(4t) - de(A)*. 11. Prove that if A is invertible, then den(A-1)- I/der(A) - det(4)- 12. We know in general that A-B丰B-A for two n x n matrices. However, prove that: det(A . B)-det(B...
Use basic java for this after importing PrintWriter object You will make a simple Magic Square program for this Java Programming Assignment. Carefully read all the instructions before beginning to code. It is also required to turn in your pseudocode or a flowchart along with this program. Here are the instructions: At the beginning of the program, briefly describe to the user what a Magic Square Matrix is (described further on), and then allow them to enter “start” to begin...
Consider the product of two matrices A and B of dimensions 4 x 4 as shown below. 0 1 2 3 11 2 3 4 | 0 1 2 3 I 1 0 2 46X2 3 4 5 I 0369 0 0 0 0 I I 14 20 26 32 I - 28 40 52 64 I I 42 60 78 96 I 3 456 1. Write a program to find the product of two matrices. The program should display...
IN C++ Please!! Declare a global integer constant called SIZE and initialize it to 10. • Declare a global enum variable that will support 10 values – each representing an ant colony {A, B, C, D, E, F, G, H, I, J}. • In the main function, o Declare a 2-dimensional array of size the global integer constant, SIZE. The number of rows and columns should be equal to SIZE, which would make this a square matrix. This array will...