1- If x = [11 4; 5 3], find: a) the inverse matrix of x. b) the diagonal of x. c) the sum of each column and the sum of whole matrix x. d) the transpose of x.

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

A: Matlab offers various types of built in functions to perform operations on matrices

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: 2- If x= [2 8 5; 9 7 1], b=[24 5] find: a) find the maximum and minimum of x. b) find median value…

A: Solution ::  Let's see first that the what is vector and what is median called in simple definition…

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: Extract a sub-matrix from matrix  B  in (3) and name it  subB. It should be a 3×3 matrix which…

A: Dear Student, Assuming that your question is related to R Programming , I am providing you the code…

Q: Extract a sub-matrix from matrix  B  in (3) and name it  subB. It should be a 3×3 matrix which…

A: Assuming the question to be R Programming the answer for the same is given below, Run the below code…

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: 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: ones is the function that will generate a matrix of given order We have to update the values of…

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: 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: Compute the code that return the matrix M=(A^T)*A for a given matrix A - the superscrupt T denoted…

A: Since programming language wasn't mentioned so I have written code in python and also your code…

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: + A Transpose of a symmetric matrix does not have to be a symmetric matrix true False

A: symmetric matrix is a square matrix that is equal to its transpose.

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: 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: 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: 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: Lets see the solution.

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: Consider two subspaces of a Hadamard matrix, whose columns are orthogonal. H = hadamard(8); A =…

A: The Answer is

Q: If matrix A is a 2 x 3 matrix, it can be multiplie by matrix B to obtain AB only if matrix B has: A.…

A: We need to find how many rows or columns required in matrix B to multiply it with matrix A. Matrix A…

Q: two rows are identical (same) in a square matrix then the determinant value of the matrix - -1 b. 0…

A: option (B) is correct option.

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: You are given a rows x cols matrix grid. Initially, you are located at the top-left corner (0,0)…

A: algorithm:  First Start from top left corner  Then For each movement and valid cell location, save…

Q: how is the inverse of a matrix used?   Provide the definition of inverse of a matrix

A: Definition of Inverse matrix When multiplied with the provided matrix, the inverse of a matrix is…

Q: This activity shall determine the rank and nullity of a matrix. Create a function that will be able…

A: The following is the required MATLAB function for finding the rank, nullity, rowspace and nullspace:…

Q: Q2\ if A= [ 1 2 3; 4 5 6; 7 8 9] find: 1- interchange rows 1 and 2 of A matrix 2- delete the third…

A: 1- Interchange row 1 and 2 of A matrix 2 - delete the third row of A matrix and restore it .

Q: Q3\ If A=[1 2 3;4 5 6;7 8 9] 1-set the value (1,2,3} for the fourth column 2-The number 4 multiple…

A: The matrix has been made in the below steps.

Q: The condition of sum the value of diameter of any matrix is * O sum=sum+A(k,k) O…

A: Diameter or diagonal of matrix is where it's xcoordinate and ycoordinate both are same.

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: Assume A is k × n-matrix and B is n × l-matrix. Prove that rank(AB) < rank(A) and rank(AB) < rank(B)

A: Assume A is k x n-matrix and B is n x l- matrix. Prove that rank(AB)

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: Consider any 6x6 matrix (only alphabets) and develop as well as demonstrate an algorithm to meet the…

A: In  mаthemаtiсs,  раrtiсulаrly  in  lineаr  аlgebrа,  mаtrix  multiрliсаtiоn  is  а  binаry…

Q: 4.7 The area of a triangle is, area = ½ base x height (see Figure P4.7 O). Find the area of a group…

A: clc; i=1;   % Initially the value of i is 1 which is used for rowsj=1;   % Initially the value of j…

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: If you have the following Matrix F in mat lab ,Find the (sum) third column of * matrix F F= 1 1 1 1…

A: Answer : SUM (F(1:4,3))

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: •To extract a submatrix b consisting of rows 2 and 3 and columns 1 and 2 of the matrix a, do the…

A: From matrix a, we have to get the submatrix b consisting of rows 2 and 3 from matrix a and 1 and 2…

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

A: In tranpose of a matrix, matrix[i][j] is swapped with matrix[j][i]. Therfore in the given…

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: نقطة واحدة Show element equal to 18 in the * matrix Y Y= 2 5 7 8. 6 10 20 30 4 3 12 14 16 18 Y(18)…

A: Dear learner, hope you are doing well, I will try my best to answer this question. Thank You!!

Q: Calculate the inverse of ál and verify that when you multiply the original matrix by the inverse,…

A: Please solve this problem using  Matlab Programming language.   Answer in step2

Q: Replace the first column of matrix B *, to vector Y B= 1111 2222 3333 4444 Y=[5,10,20,25]

A: Given matrix: B = 1 1 1 1        2 2 2 2        3 3 3 3        4 4 4 4 Y = [5,10,20,25] Replace the…

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

A: the answer is given below :

Q: Determine by inspection, which one of the following statements is true regarding the vector u= 0 Oa…

A: Determine by inspection, which one of the following statements is true regarding the vector   O.a)…

Q: We will assume that `matrixA` and `matrixB` are valid 2D arrays of * `int`s. Each matrix is…

A: In matrix multiplication, Each element of a row is multiplied of each element of every column. The…