1 1 1. A =-1 1 det A = 1 7 6 5 4 6 5 4 3 A = 5 4 2. det A = 3. 2 4 3 2 1 1 2 0 3. If is A=3 4 0 create a matrix B whose entries are three times the difference of an identity matrix of 0 0 51 order 3 and matrix A. What are the entries in B and its determinant? B= 1.

Q: Let m > 4 be an integer and A be an m x (m– 1) matrix. If Rank(A) = 2, then the nullity of A is: %3D

A: Finding the nullity is easier than finding the null space. This is due to the fact that the…

Q: 43. For n > 2, the (i,j)-cofactor of an n x n matrix A equals (-1)i+j times the determinant of the…

A: Given: 43. Determine whether the statements are TRUE or FALSE. Write TRUE if the Statement is True…

Q: 4. The generator matrix for a (7,3) code is: 0 1 1 G=1 0 1 1 0 1 10 10 0 1 1 0 0 1 a. A vector c=…

A: As per our company guidelines we are supposed to answer ?️only first 3️⃣ sub-parts. Kindly repost…

Q: Consider the following. -4 2 0 1 -3 A = 0 4 P = 0 4 2 2 -1 1 2 2 (a) Verify that A is diagonalizable…

A: Answer: I have given answered in the handwritten format in brief explanation.

Q: Consider the following. -4 2 0 1 -3 A = 0 4 0 4 2 2 -1 1 2 2 (a) Verify that A is diagonalizable by…

A:

Q: . The determinant of an n X n matrix can be used in solving systems of linear equations, as well as…

A: Since you are not mentioning the programming language, here we are using C++ to complete the…

Q: Q1 // You are given a matrix u = [2;1;1;1] , in Matlab and a second matrix v = [0.5;1;0;0]. We now…

A: matrix multiplication of w=u*v'

Q: Giving A=[12 3 4;5 6 7 8; 9 10 11 12], extract a matrix B=[12 3;5 6 7;9 10 11] from A. *

A: A=[1 2 3 4;5 6 7 8; 9 10 11 12] % extract a matrix from 'A' B=A(1:3, 1:3)

Q: If there is a non-singular matrix P such as P-1AP=D, matrix A is called a diagonalizable matrix. A,…

A: import numpy as np m = np.array([[1,-1,-1],[1,3,1],[-3,1,-1]) print("Printing the Original square…

Q: If there is a non-singular matrix P such as        P-1AP=D  , matrix A is called a diagonalizable…

A: In NumPy eigenvalues and eigenvectors are calculated by using the linear algebra library of NumPy.…

Q: Q4 2- Define the following matrix 2 3 2 A= -5 3 1- Compute the determinant A 2- find the inverse of…

A: The given matrix: A =2326-5311-4   1- Compute the determinant A A=2326-5311-4A=2-531-4 - 3631-4 +…

Q: Assume A is k x n-matrix and B is n x l-matrix and AB = 0. Prove that rank(A) + rank(B) < n.

A: According to the information given:- We have to prove that rank(A)+rank(B)&lt;=n by assuming Ak x n…

Q: Given a matrix of dimension m*n where each cell in the matrix can have values 0, 1 or 2 which has…

A: EXPLANATION: - The 2d[][] matrix consists of values like 0,1, and 2. Here empty cell is referred to…

Q: 1- If x = [11 4; 5 3], find: a) the inverse matrix of x. b) the diagonal of x. c) the sum of each…

A: Note: we are only allowed to solve one question in one post. I am solving the first on here. To get…

Q: xercises 1- If x= [1 4; 8 3], find: a) the inverse matrix of x. b) the diagonal of x. c) the sum of…

A: Code: x=[1 4;8 3]   %a in=inv(x)   %b di=diag(x)   %c sc=sum(x) s=sum(sc)   %d tr=x'

Q: B) If x=[1 4; 8 3], y=[1 2] find : a) the inverse matrix of x. b) the diagonal of x. c) the sum of…

A: According to our guidelines, we can solve one question at a time. I solved B) here.Kindly, repost…

Q: 5. Is R transitive? Explain. 6. Find the matrix representing R“.

A: Here in this question we have given a relation R={(1,2),(2,1),(2,3),(3,4),(4,1)} on {1,2,3,4}.and we…

Q: 2) Define the 5 x 4 matrix, g. [0.6 1.5 2.3 - 0.5 8.2 0.5 -0.1 - 2.0 g =|5.7 8.2 9.0 1.5 0.5 0.5 2.4…

A: (a) a = g(:,2) It will reference  all the elements of 2nd Column of Matrix g. so ,  a =…

Q: Define the matrices: T [3 2; 0 -8; -4 3]; A = [diag(-1:2:3) T; -6 4 32 1]. Perform the following…

A: sum() is used to find sum of elements  min() is used to find minimum of elements  max() is used to…

Q: 42. For n > 2, the (i,j)-cofactor of an n x n matrix A is the determinant of the (n – 1) × (n – 1)…

A: Given:   42. Determine whether the statement are TRUE or FALSE. Write TRUE if the Statement is True…

Q: -5 C/IF A= 14 0 -9 0.8 39 50 and B= 130 11 -2 0.8 -6.3 by using Matlah find: 0.7 1- A--B-1+ AT. B…

A: A = [14/0.36, 0, -5   -14, 0, -9   0.8,39,50] B = [2/14,-0.9/4,0    16/130,0.8,-6.3    11,-2,0.7]…

Q: Exercise 2 Enter the following matrix A = 1 11 23 56 93 1611 423 4 12 1940 34 5 92 234 23 53 68 2…

A: Solution ::  Write the matrix,A A=[ 11 23 56 93;       1611 423 4 12;       1940 34 5 92 ;…

Q: Given the matrix X= rand(3,4), reshape(X,2,8) will creates a matric of size 2x8. * O True O False

A: As per our guidelines, we are supposed to answer only one question. Kindly repost the remaining…

Q: If x=[1 4; 8 3], y=[1 2] find : a) the inverse matrix of x . b) the diagonal of x. c) the sum of…

A: Note: we are only allowed to solve three subparts in one question. to get answers to others, please…

Q: Using the below insights: obtain a matrix P such that if A is any matrix with 3 columns, AP is a…

A: Taking rearranged rows or column of identity matrix as matrix as matrix P to get the cyclic shift in…

Q: Find the value of *a', if B = | is a singular matrix? (A) 5 9 (8) (C) 7 O B

A: Singular Matrix

Q: summation of any matrix (a)?

A: Code: function sum_of_matrix= sum_element(a)[p,q]=size(a)sum_of_matrix=0;for i=1:p      for j=1:q…

Q: Define the 5 x 4 matrix,g. Find the content of the following matrices b) a =g (4,:) d) a =g…

A: a=g(:,2) will fetch all the elements in second column and thus content looks as follows 1.5 0.5 8.2…

Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

A: Given 2*2 matrix is, 2222 By subtracting λ from the diagonal entries of the given matrix:  [2−λ…

Q: Q3: 1- Give an example of symmetric matrix. 1 2 3 2- LET A =2 find AT and |A|. 1 3 1 2 13

A:

Q: 33. If the product AB is defined and AB is a zero matrix, then either A or B is a zero matrix.

A: Given:   33. Determine whether the statement are TRUE or FALSE. Write TRUE if the Statement is True…

Q: Given a 2-D square matrix: int mat[3][3] ={{1, 2, 3}, {4,5,6},{7,8,9}}. Write a function transpose…

A: The definition of transpose of matrix is that transpose[i][j] = matrix[j][i] for all i,j in range of…

Q: aven the folIlowing matrix: X= 16 3 2 13 5 4 8 7 Write the result of the following: 1- >> x(:,2) 2-…

A: Please note we can only answer 3 subparts per question. Please post the rest in a different…

Q: • With the same matrices a, and b, that you generated above, implement the function…

A: please find the code below

Q: %Encode A1, b1 and x1 as the vector of unknowns. A1 = b1 = syms xv1 =   %Check the size of A, set…

A: Given: %Encode A1, b1 and x1 as the vector of unknowns. A1 = b1 = syms xv1 =     %Check the size of…

Q: %Encode A1, b1 and x1 as the vector of unknowns. A1 = b1 = syms xv1 =     %Check the size of A, set…

A: Problem (1) %% Encode A1, b1 and x1 as the vector of unknowns. A1 = [3 1 2; 4 2 8; 2 4 4]; b1 = [2;…

Q: If X=[ 4 6 8 7;3 4 5 1;2 3 8 9 ;5 319]; how we can delete the second row of matrix x( 2:3 ,2)=0 O…

A: Lets see the solution in the next steps

Q: Given this system state Allocation Mas Available ABCD ABCD ABCD P02 202 3212 1010 P11110 1320 P21…

A: Answer: Need=       ABC DP0P1P2P31010021010000321 Safe sequence = P0,P1,P2,P3

Q: Cayley-Hamilton Theorem) The Cayley-llamilton theorem is a powerful theorem in inear algebra that…

A: the answer is given below :

Q: Q1: if y = [1,2,3,4,6,5,4,3,8,9,7,6,5,4,3,2], then a) replace the first three elements of vector y…

A: The answer is as follows:-

Q: Q1: if y = [1,2,3,4,6,5,4,3,8,9,7,6,5,4,3,2], then a) replace the first three elements of vector y…

A: A vector is a part of Java collections. It is dynamic so it can grow in size as there are more…

Q: Replace the values of the matrix F, F(2,3),F(2,4),F(3,3),F(3,4) of the matrix * ? G = [4,4 ; 4,4]

A: F(2:4,3:4)=4*ones(2,2)

Q: Replace the values of the matrix F, F(2,3),F(2,4),F(3,3),F(3,4) of the matrix * ? G = [4,4 ; 4,4]

A: replace values of matrix F , F(2,3) F(2,4),f(3,3), f(3,4) of matrix. ?G=[4:4,4:4]   F= 1111…

Q: 1. Reshape the matrix A into size twelve rows and two columns (12x2). Assign the reshaped matrix to…

A: % to reshape to 12 rows 2 columns B = reshape(A, [12, 2])   % reshape into row vector C = reshape(A,…

Q: You are given an nxn matrix. Find if it has a visual 'envelope' pattern. First input is n, remaining…

A: - We need to create an envelope program for square matrix. - The matrix is square matrix.

Q: 3. Find Matrix Chain multiplication for following four matrices (M1, M2, M3 and M4) using dynamic…

A: Given: Find Matrix Chain multiplication for the following four matrices (M1, M2, M3 and M4) using…

Q: A permutation of the rows and columns of a sparse matrix S can be represented in two ways: • A…

A: I have answered this question in step 2.

Q: The set S = {(1,1, –4); (2,2,1); (1, –1,0)} form a basis for R. Which of the following statements is…

A: correct answer is Option D.  S is an orthogonal basis that is not orthonormal   Please check the…

Q: Example 1 1. write the following system of equations in matrix form 2. And find the values that…

A:

Q: Example 1 1. write the following system of equations in matrix form 2. And find the values that…

A: Code: syms x y x1 y1 x2 eqn1 = x1-y+3*x2-4*y1+5*x == 3;eqn2 = 2*y+6*x2-3*x1+6*y1-4*x == -5;eqn3 =…