43. For n > 2, the (i,j)-cofactor of an n x n matrix A equals (-1)i+j times the determinant of the (n – 1) × (n – 1) matrix obtained by deleting row i and column j from A.
Q: 3-5 6. Evaluate the determinant for the following matrix: O A. 8 о В. -2 O C.5 O D. -4
A: The Answer is in step-2.
Q: 3-5 Evaluate the determinant for the following matrix: 1 O A. 8 О В.-2 O C.5 O D. -4
A: Here in this question we have given a matrix and we have asked to find the determinant of this…
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: 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: 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: 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: 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: 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: The matrix chain order P -(PO,P1, P2 ,P3 ,P4, P5) (5,10,3,12,5,50) the objective is to find minimum…
A: Algorithm matrix chain multiplication: P0=5, P1=10, P2=3, P3=12, P4=5, P5=50 from these input we 5…
Q: Make a code c of length 6 as follows: For each (X,X2, X3)eF code the word (X1, X2, X3, X4, X5, X6) €…
A:
Q: Give atleast 3 examples of each type of matrix. I. Idempotent Matrix
A: NOTE :- Below i explain the answer in my own words by which you understand it well. Idempotent…
Q: (a) Suppose we want to change columns 6 and 7 in our matrix A. Express the new matrix as A - ZVT,…
A:
Q: What will be the minimum number of multiplication to multiply these matrices?
A: The correct answer is option B) Reason: Minimum Multiplication of the Matrix would be 441 Minimum…
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: 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: 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: 9)Given an M x N integer matrix. Find the element that is the maximum in its row and the minimum in…
A: The code is given below.
Q: 3 6. Evaluate the determinant for the following matrix: 1 O A. 8 ОВ. -2 O C. 5 O D. -4 LO
A: Here in this question we have given a matrix and we have asked to find the determinant of this…
Q: 10 4 2 3 Let G = 2 4 6 5 6 be the generator matrix of a linear [6,2]-code C over Z/7Z. Give the…
A: ANSWER:
Q: Given an m × n binary matrix consisting of 0’s and 1’s, find the maximum size square sub-matrix…
A: Solution:
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: (True or false) Given two matrixes A and B, assume A= B1 1. AxB = BXA| 2. AxB = | 3. Axl=B
A: First property is True Here is why . consider the Matrix A and B as mentioned . Now before…
Q: Find Matrix Chain multiplication for following four matrices (M1, M2, M3 and M4) using dynamic…
A: Given: find the matrix chain multiplication for following four matrices (M1,M2,M3,M4)using dynamic…
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: 2- Find the multiplication of the elements of each row in 2-D matrix. C++
A: The code in c++ along with the output snapshots is given below:
Q: The associated vector of differences is the (T-1)-vector another_var given by аnother_var3 (var2 —…
A:
Q: 3 6. Evaluate the determinant for the following matrix: 1 O A. 8 оВ. -2 O C.5 O D. -4
A: Determinant of a matrix: Let A is a matrix of a1a2b1b2, then determinant of A is, |A| = (a1×b2 -…
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: If the transpose of a square matrix gives the same matrix is known as * .matrix
A: Given:
Q: What is the worst-case running time complexity of matrix substraction? select one: a.O(n^2.5)…
A: Given:- What is the worst-case running time complexity of matrix substraction? select one:…
Q: 6. Evaluate the determinant for the following matrix: 1 O A. 8 О В. -2 O C.5 O D. -4 3.
A: For a 2×2 matrix A, the determinant is defined by A = abcd = ad - bc
Q: USING PYTHON A tridiagonal matrix is one where the only nonzero elements are the ones on the main…
A:
Q: Find the product of the product of the elements of a matrix and the other elements of a matrix with…
A: 4 by 2 and 4 by 2 matrix multiplication is not possible . Why beacause.....
Q: 3 6. Evaluate the determinant for the following matrix: 1 O A.B O B.-2 O C.5 O D.-4
A: The determinant of the given matrix is 8. Explanation is as follows.
Q: B/ If we have x= [1,5,7,9,13,20,0,7,8], write a matlab code to find: 1- Reshape this vector into a 3…
A: Answer:
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: 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: Need Python code to graph f = sin(9x) to show the exact solution and the graphs of its interpolation…
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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: 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 +…
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A: We need to find how many rows or columns required in matrix B to multiply it with matrix A. Matrix A…
Q: 4. Represent the following function as a list of maxterms and use a k-map to find the minimal…
A: Here in this question we have given a function with some min term and. We have asked to use kmap to…
Q: Strassen's algorithm of matrix multiplication works faster than standard matrix multiplication…
A: Answer:
Q: ) Assume A is k × n-matrix and Q is n x n-invertible matrix. Prove that rank(AQ) = rank(A).
A: Solution:
43. Determine whether the statement are TRUE or FALSE. Write TRUE if the Statement is True and False otherwise
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- Algorithm for Matrix-Vector Multiplication1: Input : matrix Am×n, vector xn2: Output : product c ∈ R. The determinant of an n X n matrix can be used in solving systems of linear equations, as well as for other purposes. The determinant of A can be defined in terms of minors and cofactors. The minor of element aj is the determinant of the (n – 1) X (n – 1) matrix obtained from A by crossing out the elements in row i and column j; denote this minor by Mj. The cofactor of element aj, denoted by Cj. is defined by Cy = (-1y**Mg The determinant of A is computed by multiplying all the elements in some fixed row of A by their respective cofactors and summing the results. For example, if the first row is used, then the determi- nant of A is given by Σ (α(CI) k=1 Write a program that, when given n and the entries in an n Xn array A as input, computes the deter- minant of A. Use a recursive algorithm."onsdensiks Consider the m x n-matrix A and the vector be Rm that are given by A = [aij], 6 = [bi] where aij = (–1)++i(i – j), b; = (-1)' for i = 1,... m and j = 1,..· , n. %3D Note that aij is the entry of A at the i-th row and the j-th column. Consider the following condition on vectors iE R": (Condition1) Aa õ. Write and run a python Jupyter notebook using the PULP package, to check whether there is a vector iE R" that satisfies (Condition1), • when m =n = 10, and if it exists, find one. Submit your screenshots or the pdf file of your Jupyter Notebook; it should show both the codes and the results. [For credits, you must write a python Jupyter notebook to solve this problem.] Python Hint: Start with giving М-10 N=10 You may want to use Python lists combined with 'forloop'. For example, column=[j+1 for j in range(N)] row=[i+1 for i in range(M)] Then, one can define the matrix A and the vector 6, using Python dictionaries combined with 'forloop' as a= {i:{j:(-1)**(i+j)*(i-j) for j in…
- If there is a non-singular matrix P such as P-1AP=D, matrix A is called a diagonalizable matrix. A, n x n square matrix is diagonalizable if and only if matrix A has n linearly independent eigenvectors. In this case, the diagonal elements of the diagonal matrix D are the eigenvalues of the matrix A. A=({{1, -1, -1}, {1, 3, 1}, {-3, 1, -1}}) : 1 -1 -1 1 3 1 -3 1 -1 a)Write a program that calculates the eigenvalues and eigenvectors of matrix A using NumPy. b)Write the program that determines whether the D matrix is diagonal by calculating the D matrix, using NumPy. #UsePythonzeros matrix identity matrix ones matrix if A = [12 3; 4 5 6; 7 8 9], inverse of .9 A is denoted by * A(inv) O A' inv(A) if V=[6 12 4 50 -4 80 1], the result .10 . of V(7: end) is 71 O -4 801 1 OPls Use Python If there is a non-singular matrix P such as P-1AP=D , matrix A is called a diagonalizable matrix. A, n x n square matrix is diagonalizable if and only if matrix A has n linearly independent eigenvectors. In this case, the diagonal elements of the diagonal matrix D are the eigenvalues of the matrix A. A=({{1, -1, -1}, {1, 3, 1}, {-3, 1, -1}}) : 1 -1 -1 1 3 1 -3 1 -1 a)Write a program that calculates the eigenvalues and eigenvectors of matrix A using NumPy. b)Write the program that determines whether the D matrix is diagonal by calculating the D matrix, using NumPy. Ps: Please also explain step by step with " # "
- * Single elements of a matrix are accessed as A(ij), where 1 ≥ i and 1 ≥ j От O FScalar Muitiplication Maltipfication of a matrix by a number is called as scalar. If A is a /x m matrtx & x is a scalar, e= xA is amatrix of six I x m, in c,xxa,Q1. Design a generic matrix multiplier. Here ‘generic’ means the design should work for anymatrix multiplication X∙Y = Z, where the matrices X, Y, and Z are of sizes a×b, b×c, and a×crespectively. Now, pick a, b, c from the last three digits of your roll number. ( If any of the digitsis 0, take 3 instead of it; if two digits are 0s, then take 3 for the first 0, and 5 for the second 0)For Example, if the last three digits are 123 then a = 1, b = 2, and c = 3; if the last three digitsare 204 then a = 2, b = 3, c = 4; f the last three digits are 100 then a = 1, b = 3, c = 5.
- The join of two zero-one matrices A and B is described as AvB = [aij v bij] AAB = [aij a bij] AAB = [aij v bij] AvB = [aij a bij]Given an NxN matrix of positive and negative integers, write code to find thesubmatrix with the largest possible sum.A) If the matrix A= [2 5 1;7 3 6:2 5 4], find: 1- A' 2- A(2,3) 3-size(A) 4- A(:,2)=[] 5- Inv(A)