2- Given K = -1 -1 -1 2 (a) Find the elimination matrices Eij by using the elimination steps to transform K into the upper triangular form U. (b) Find L by using the elimination matrices E- Then write the U = EK and K = LU forms.

Q: 1. to the identity matrix I using elementary row operations. 12 (a) Reduce A - 1. as a product A =…

A:

Q: [1 0 -1] Find a matrix P which transform the matrix A= 1 2 1 to diagonal | 2 2 3 form. Hence A“.

A:

Q: Use the elementary matrix E to find E A using an elementary row operation. - 0 2 -1 -9 8 E = 1 A = 7…

A:

Q: Use the elementary matrix E to find EA using an elementary row operation. 0 0 0| A 1 3 8 -5 E 1 -8…

A: Given matrix E is, E=100010-301 Matrix A is, A=38-5-8-1-29-62

Q: -1 Using Doolittles method for the following matrix A = 0 L-2 L- matrix and U - matrix. 2 11 86 0 51…

A: Given, A=-121086-205

Q: Use the elementary matrix E to find EA using an elementary row operation. 1 -5 0 -4 -9 E = 0| A -2…

A:

Q: Given the matrix 0 -5 11 6 Introduce the "- R" term to the diagonal of the matrix. -5 - R (A 11 - R…

A: Given query is to add -R in diagonal of matrix.

Q: a) For invertible matrices A, BE R™×", show that ((AB)")-1 = (A-1)" (B1)". b) Let A, B, C, D e R"*"…

A:

Q: -3 1 2 -4 1 2 - 9 1 4 Given that A and B 41 -4 -18 find two elementary matrices C and D so -30 1 3 1…

A: We are given:A= -3120-412-301                      B= -91441-4-18-301Now , elementary matrix are…

Q: [-1 -1 Using Doolittles method for the following matrix A = 0 L-2 -2 L - matrix and U - matrix. 2 11…

A:

Q: 9. Solve the matrix equation C-A(X - B) = D for X. Note that A, B,C, D, and X are all n x n…

A: Explanation of the answer is as follows

Q: 1 3 1 3 (b). Given A =-1 4 and B = -2 8 2 5) 0-1 (i). State the sequence of elementary row…

A: Row elementary operations will be used to reduce the matrix from A to B. As per our guidelines, we…

Q: 1 1 1 0100 0120 00 0 Let A = Write A as C DC , where D is a diagonal matrix. Hint: You can always…

A: Given : matrix A=1110010001200000 We have to write A as CDC-1, where D is a diagonal matrix.

Q: 1. Determine the Inverse Matrix of the following using the 5 steps and Gauss - Jordan Method. i. A =…

A: Part (i) We have A=1.204.640.503.60 Now, we find the inverse of A=1.204.640.503.60 Consider:…

Q: -2 Find the matrix P such that P-'AP is diagonal matrix. -2 (c) Let A -2 3 -1 -1 3 6.

A:

Q: (a) Let E1, E2 be n x n elementary matrices (n > 3) such that for any n x n matrix A E1A = Ap E2A =…

A: As per the guidelines of the company I am doing the 1st question with all sub-parts. Kindly repost…

Q: For the matrix A = 1 4 7 258 3 69 find the elimination matrix L₁(A), compute the product L₁(A)A by…

A:

Q: 5. Consider the matrix -1 3 0 0 1 0 3 A = 1 (a) Find A-1, the inverse matrix of A by using your…

A: (a)       So substituting in equation (1), we get A-1=130310-631-51Therefore    A-1=0100-2113-5313

Q: -10 1 Let A = Construct a 4 x2 matrix D, using only 1 and 0 as entries, such that AD = I,. Is it…

A:

Q: 2. Use Gauss-Jordan Method to find the Inverse of the matrix A, if it exists. (Gauss-Jordan method…

A:

Q: [1/2 -3 A = 2 3/15 1. Find sequence of elementary matrices whose product is 2. Solve the given SLE…

A:

Q: [1/2 A = 2 -3 1. Find sequence of elementary matrices whose product is 3/15 2. Solve the given SLE…

A: Given matrix  A=12-32315 As per our guideline we supposed to answer only first question kindly…

Q: 2. We say that two matrices A and B commute if A B = B A. Matrices do not commute in general, but…

A: We will use the basic knowledge of linear algebra in answering this question.   Note that we CAN NOT…

Q: Q#1 Find the elementary row operation that transform the first matrix in to the second, and then…

A:

Q: (6 :) b12 such that A and B commute, that is, A.B = B·A. (b21 (b11 10. For the matrix A = find a…

A:

Q: Find a sequence of elementary matrices E1, E2,..., Ek such that Ek- E2E1A = I. Use this sequence to…

A: Given :           A = 2411 To find a sequence of elementary matrices E1, E2 , ..., Ek such that Ek…

Q: 1 -1 1 -1 1 3 -1 Let, A = -2 1 4 -1 3 3 -1 -5 1 -6, a. Find a 5x5 matrix B such that AB = 0, where 0…

A:

Q: [2 -1 Find ranks of the matrices A, AT and AAT (answer depends on q). A = 3 2 1 1 3

A: Given A=2-100321132q1 Find rank of A Make first row first column element has 1 R1=R12…

Q: Using the matrices, [1 0 1] R1 = 0 1 1 li 0 1l [1 1 1 R2= 1 0 1 li 1 11 Find the matrix that…

A: Introduction: The union and intersection can also be performed between two matrices. Also, the…

Q: Use the elementary matrix E to find EA using an elementary row operation. 5 0 0 5 -6 E = A = 1 0 0 1…

A:

Q: Q5 Let -1 7 A = 1 15 -2 (5a) Find a 3 x 3 matrix P and a diagonal matrix 0 0 D= such that A = PDP-1…

A:

Q: 2- Consider the matrices A = [₁²1], B = [₁ J₁ C=__=₁} K₁ = [50], K₂ = [₁²2] Solve AX + BY = K₁ CX +…

A: Given: The matrices are A=3211 ,B=0110,C=111-1, D=11-14,K1=5000 and K2=21102. To find: The matrixes…

Q: Matrices A and B are given as 4-1 (1 2 3 7 A=-1 0 4 and B=-1 -1 2 - 0 2 2) 1 1 -1 1 (a) Find the…

A: The order of a matrix is defined as m×n, where m is the number of rows and n is the number of…

Q: [1 0 0 Let A = 2 1 0 and b = 1 3 2 3 (a) Use Gauss-Jordan elimination to compute the inverse of the…

A:

Q: Current Attempt in Progress Using the matrices ro 2-1 compute the following (se - D) (S27 -D) - I

A:

Q: It A is an invertible nxn matrix, then the inverse of matrixA IS A A3D det A adj A and ad - bc+ 0,…

A: Here, matrix A is given as: A=abcd

Q: 6. An n x n matrix P is said to be orthogonal if P'P = In. (P'P is "the matrix product of…

A:

Q: -1 Find the matrix P that diagonalizes A = -2 and the resulting diagonal matrix D. 3 -1 D = P = Ex:…

A:

Q: 2. Find QR-factorization of the matrix using Householder reflectors (only matrix R and reflectors…

A:

Q: (iv) Given the matrices 3 1/3 -1/6 and B =D 1/2 A =0 Verify that AB BA = I where I is the identity…

A: Given that A=3102 and B=13-16012 verify AB=BA=I

Q: [1/2 A = 2 -3 3/15 1. Find sequence of elementary matrices whose product is 2. Solve the given SLE…

A: As per our company guidelines we are supposed to answer ?️only first question. Kindly repost other…

Q: 1- It's given that A, B are invertible matrices and A is also symmetric. If = BA , D = AB and F =…

A: It is given that A is symmetric, i.e., A=AT. It is given- C=BA,D=AB,& F=D-1ATB-1C-1 Then,…

Q: 6. Let A be an 5 x 5 matrix such that det A = 3. Suppose that starting with A, we do the following…

A:

Q: Express matrix A and its inverse as products of elementary matrices. Question 3 Given 2 10 4 -1 1 0.…

A:

Q: , and C = [-1 1]. Let A = L B = -2 3 Then 2BC + AT = 3 -1] O the above matrix O None of the…

A:

Q: for the matrix        7   2   5 A=3   1  4      1    2  1 what is the element in the third row and…

A:

Q: 3. a. Give an example of two 2 × 2 matrices such that (A+ B)(A – B) # A² – B² b. State a valid…

A:

Q: 1/2 A = 2 -3 1. Find sequence of elementary matrices whose product is 3/15 2. Solve the given SLE…

A:

Q: 4. Consider the matrix (0 1 d B = | 1 c 0 0 0 1 (a) Use Gauss-Jordan Elimination to compute the…

A:

Q: 8. Q1. a) If A = 4 and B = then find the matrix X such that 2A +3X = 5B

A: We have to find the matrix X such that 2A+3X=5B where matrices are given as: A=804-236 and…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.